Experimental Probability - Worksheet 8 - 7th Grade

Hard

Express probabilities as exact fractions, with assumptions about equally likely outcomes stated explicitly.

hard: Use another set to practice explaining and checking your answers.

18 problems · 15-20 minutes · Skills: probability, data collection

About This Worksheet

This hard-level worksheet contains 18 problems designed for 7th Grade students practicing experimental probability. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Read tables and graphs, count outcomes, and calculate with fractions.

  • Express probabilities as exact fractions, with assumptions about equally likely outcomes stated explicitly.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A fair coin is tossed 40 times and lands heads 8 times. What is the experimental probability of heads?
Solution Steps:
  1. Use the observed head count divided by the total number of trials.
  2. The theoretical probability is 1/2, but the experimental fraction may differ.
Answer: 1/5
Tip: Check your result using the method in the example before moving to the next question.
1
A fair coin is tossed 40 times and lands heads 38 times. What is the experimental probability of heads?
2
A fair coin is tossed 70 times and lands heads 67 times. What is the experimental probability of heads?
3
A fair coin is tossed 40 times and lands heads 9 times. What is the experimental probability of heads?
4
A fair coin is tossed 70 times and lands heads 17 times. What is the experimental probability of heads?
5
A fair coin is tossed 70 times and lands heads 51 times. What is the experimental probability of heads?
6
A fair coin is tossed 70 times and lands heads 57 times. What is the experimental probability of heads?
7
A fair coin is tossed 70 times and lands heads 52 times. What is the experimental probability of heads?
8
A fair coin is tossed 20 times and lands heads 5 times. What is the experimental probability of heads?
9
A fair coin is tossed 30 times and lands heads 1 times. What is the experimental probability of heads?
10
A fair coin is tossed 30 times and lands heads 22 times. What is the experimental probability of heads?
11
A fair coin is tossed 20 times and lands heads 6 times. What is the experimental probability of heads?
12
A fair coin is tossed 30 times and lands heads 11 times. What is the experimental probability of heads?
13
A fair coin is tossed 60 times and lands heads 3 times. What is the experimental probability of heads?
14
A fair coin is tossed 40 times and lands heads 36 times. What is the experimental probability of heads?
15
A fair coin is tossed 50 times and lands heads 32 times. What is the experimental probability of heads?
16
A fair coin is tossed 30 times and lands heads 21 times. What is the experimental probability of heads?
17
A fair coin is tossed 20 times and lands heads 13 times. What is the experimental probability of heads?
18
A fair coin is tossed 30 times and lands heads 29 times. What is the experimental probability of heads?

Answer Key

1. 19/202. 67/703. 9/404. 17/705. 51/706. 57/707. 26/358. 1/49. 1/3010. 11/1511. 3/1012. 11/3013. 1/2014. 9/1015. 16/2516. 7/1017. 13/2018. 29/30

Frequently Asked Questions

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What skills does this probability and statistics worksheet cover?

This worksheet focuses on probability, data collection. It is designed for 7th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

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How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.