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Quizzes > High School Quizzes > Mathematics

Grade 7 Probability Practice Quiz

Master probability concepts with basic practice worksheets

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Colorful paper art promoting Probability Playground, a high school-level probability quiz.

What is the probability of an event that is certain to occur?
0.5
1
Undefined
0
A probability of 1 indicates that the event is certain to occur. This is the defining characteristic of a probability equal to 1.
If you toss a fair coin, what is the probability of getting heads?
1
1/4
1/2
1/3
A fair coin has two equally likely outcomes, so the chance of getting heads is 1 out of 2, or 1/2. This basic concept is fundamental in probability.
What is the probability of an impossible event?
0.5
0
1
Undefined
An impossible event has no chance of occurring; therefore, its probability is 0. This is a fundamental property in probability theory.
If there are 3 red marbles and 2 blue marbles in a bag, what is the probability of drawing a red marble?
1/2
3/5
2/5
1/3
There are 3 favorable outcomes (red marbles) out of a total of 5 marbles, so the probability is 3/5. This is calculated as favorable outcomes divided by total outcomes.
When rolling a fair six-sided die, what is the probability of rolling a 6?
1/2
1/4
1/3
1/6
A six-sided die has six equally likely outcomes, and only one outcome results in a 6. Thus, the probability is 1/6.
A bag contains 4 green, 5 yellow, and 1 red marble. If one marble is drawn at random, what is the probability that it is not red?
9/10
1/10
3/5
1/2
There are 9 marbles that are not red out of a total of 10 marbles, so the probability of not drawing a red marble is 9/10. This calculation uses the basic principle of probability.
If a card is drawn from a standard deck of 52 cards, what is the probability that it is a heart?
1/4
1/2
1/13
1/12
There are 13 hearts in a deck of 52 cards. Dividing 13 by 52 gives a probability of 1/4. This illustrates the concept of equally likely outcomes.
What is the probability of getting an even number when rolling a fair six-sided die?
2/3
1/6
1/2
1/3
Even numbers on a die are 2, 4, and 6, providing 3 favorable outcomes. With 6 total outcomes, the probability simplifies to 1/2.
If you toss two fair coins, what is the probability of getting two heads?
1/4
1/2
1/3
1/8
There are four equally likely outcomes when tossing two coins and only one of these outcomes results in two heads. Thus, the probability is 1/4.
Two dice are rolled. What is the probability that the sum is 7?
1/7
1/9
1/6
1/8
There are 6 favorable outcomes (1,6; 2,5; 3,4; 4,3; 5,2; 6,1) out of 36 possible outcomes when rolling two dice. This gives a probability of 6/36, which simplifies to 1/6.
A jar contains 7 red, 8 blue, and 5 green jelly beans. What is the probability of drawing a green jelly bean?
5/7
1/2
1/3
1/4
There are 5 green jelly beans out of a total of 20 jelly beans, so the probability is 5/20 which simplifies to 1/4. This is a straightforward application of the probability ratio.
A spinner is divided into 8 equal sections, 3 of which are yellow. What is the probability of landing on a yellow section?
3/8
3/5
1/8
1/2
Since there are 3 favorable sections out of 8 total, the probability of landing on a yellow section is 3/8. This employs the basic probability rule for equally likely outcomes.
In a raffle with 100 tickets, if you buy 5 tickets, what is the probability that one of your tickets wins, assuming only one winning ticket is drawn?
1/100
1/10
1/20
1/5
With 5 tickets out of 100, the probability of winning is 5/100, which simplifies to 1/20. This calculation uses basic probability by comparing favorable outcomes with total outcomes.
When drawing two cards one after the other from a standard deck without replacement, what is the probability that both are aces?
1/221
1/26
1/13
1/85
The probability of drawing the first ace is 4/52, and if an ace is drawn, the probability of drawing a second ace is 3/51. Multiplying these gives a probability of 1/221.
The probability of event A is 0.3 and event B is 0.4. If A and B are mutually exclusive, what is the probability of A or B occurring?
0.4
0.7
0.12
0.3
For mutually exclusive events, the probability of either event occurring is the sum of their individual probabilities. Adding 0.3 and 0.4 gives 0.7.
In a game, a fair coin is tossed repeatedly until a head appears. What is the probability that the first head appears on the third toss?
1/8
1/4
3/8
1/2
The first two tosses must be tails (each with probability 1/2), and the third toss must be a head (probability 1/2). Multiplying these probabilities (1/2 * 1/2 * 1/2) gives 1/8.
A bag contains 3 red, 4 blue, and 5 green candies. Two candies are drawn at random without replacement. What is the probability that both candies drawn are blue?
2/11
1/12
1/11
1/6
The probability that the first candy is blue is 4/12, and after that, the probability that the second candy is blue is 3/11. Multiplying these probabilities gives 1/11.
If two independent events have probabilities of 0.7 and 0.5 respectively, what is the probability that both events occur?
0.7
0.5
1.2
0.35
For independent events, the probability of both occurring is the product of their individual probabilities. Multiplying 0.7 and 0.5 gives 0.35.
In a lottery drawing 3 numbers from 1 to 10 without replacement, what is the probability that the numbers 1, 2, and 3 are drawn (in any order)?
1/120
1/10
1/60
1/30
There is exactly one favorable combination {1, 2, 3} among the 120 possible combinations (calculated as 10 choose 3) when drawing the numbers without replacement. This makes the probability 1/120.
A die is rolled twice. What is the probability that the product of the two rolls is even?
2/3
3/4
1/4
1/2
The product of two numbers is even if at least one of them is even. Calculating the probability that both numbers are odd (which is 1/4) and subtracting from 1 gives 3/4. This complementary approach confirms the answer.
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Study Outcomes

  1. Analyze event outcomes using basic probability principles.
  2. Apply theoretical probability formulas to solve quiz problems.
  3. Interpret experimental data to estimate likelihoods accurately.
  4. Determine the difference between independent and dependent events.
  5. Synthesize sample space concepts to evaluate probability scenarios.

7th Grade Probability Worksheet Cheat Sheet

  1. Probability Formula - Kick off your probability journey by dividing the number of winning outcomes by the total possible outcomes. It's like slicing a pizza: if you have 4 pepperoni slices out of 8, your chance of grabbing one is 4/8! Probability Formulas
    2. Probability Formulas
  2. Complementary Events - Ever wondered what happens when an event doesn't occur? Simply subtract its probability from 1 to find the chance of the "not" happening. Think of it as the flip side of a coin - heads or tails, one or the other! Probability Formulas
    3. Probability Formulas
  3. Addition Rule - When you want "A or B" to happen, add their probabilities and subtract any overlap so you don't count twice. It's like adding two circles in a Venn diagram but carefully avoiding the center twice! Probability Formulas
    4. Probability Formulas
  4. Conditional Probability - Find the chance of A happening given that B already happened by focusing on the overlap of A and B divided by B's chance. It's the perfect tool for "given that…" scenarios, like drawing a second card after keeping the first. Probability Formulas
    5. Probability Formulas
  5. Bayes' Theorem - Update your beliefs when new evidence pops up! Multiply the likelihood of evidence given the hypothesis by the hypothesis's probability, then divide by the total evidence chance. It's your go-to for detective-style math! Probability Formulas
    6. Probability Formulas
  6. Independent vs. Dependent Events - If knowing A happened doesn't change B's chance, they're independent (just multiply their probabilities!). Otherwise, they're dependent, and you'll need conditional probability tricks. Perfect for understanding games, genetics, and more! Probability Formulas
    7. Probability Formulas
  7. Random Variables - Turn outcomes into numbers with random variables - they can be whole-numbered (discrete) or any value in a range (continuous). Think of rolling dice (discrete) versus measuring your height (continuous). Understanding Basic Probability Concepts
    8. Understanding Basic Probability Concepts and Rules for Students
  8. Expected Value - Calculate the long-run average by multiplying each outcome by its probability and adding them up. It's your crystal ball for "on average" predictions - perfect for games of chance or budgeting! Understanding Basic Probability Concepts
    9. Understanding Basic Probability Concepts and Rules for Students
  9. Variance & Standard Deviation - Measure how spread out your data is: variance gives the average squared deviation, and the standard deviation brings it back to original units by taking the square root. It's like checking how wild your ride really is! Understanding Basic Probability Concepts
    10. Understanding Basic Probability Concepts and Rules for Students
  10. Common Probability Distributions - Master the Binomial for yes/no trials, Poisson for rare events, and Normal for the famous bell curve. Each distribution tells a unique story about randomness - get ready to decode them all! Understanding Basic Probability Concepts
    11. Understanding Basic Probability Concepts and Rules for Students
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