Math Core

Unit 7 · Test

Unit 7 test: Probability

15 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers the likelihood scale, finding probabilities, experimental and theoretical probability, probability models, compound events and simulations.

Question 1

The probability that it snows in Miami tomorrow is 0.010.01. Which word best describes this event?

Question 2

A bag holds 66 red, 44 blue and 55 green marbles. You pick one without looking. What is the probability that it is green?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 3

The probability that Leo wins a game is 0.350.35. What is the probability that he does not win? Give your answer as a decimal.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 4

A spinner was spun 3030 times and landed on red 99 times. What is the experimental probability of landing on red? Give your answer as a fraction in simplest form.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 5

You roll a fair number cube 300300 times. About how many times should you expect to roll a 11 or a 22?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

In a random group of 8080 students at a school, 1212 are left-handed. The school has 600600 students. About how many of them would you predict are left-handed?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

A fair coin lands tails 66 times in a row. What is the probability that it lands heads on the next flip?

Question 8

A probability model has four outcomes. Three of the probabilities are 0.150.15, 0.40.4 and 0.30.3. What is the fourth probability?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 9

A spinner is 38\dfrac{3}{8} red and 14\dfrac{1}{4} blue. The rest is yellow. What is the probability of landing on yellow?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 10

Which situation is best described by a non-uniform probability model?

Question 11

You flip a coin and roll a number cube. What is the probability of getting tails and a number greater than 44?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 12

You roll two number cubes and add the numbers. What is the probability that the sum is 66?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

A lunch special comes with one of 44 sandwiches, one of 33 drinks and one of 22 desserts. How many different lunches are possible?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 14

Two spinners each have 33 equal sections numbered 11, 22 and 33. You spin both and add the numbers. What is the probability that the sum is even?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 15

A store's delivery van breaks down on 20%20\% of days. To simulate 22 days, Sam uses pairs of random digits, where 00 and 11 mean a breakdown and 22 through 99 mean no breakdown. Here are his 1010 trials.

3781049562184973205637 \quad 81 \quad 04 \quad 95 \quad 62 \quad 18 \quad 49 \quad 73 \quad 20 \quad 56

Based on his simulation, what is the probability that the van breaks down on at least one of the 22 days?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.