Likelihood of events
Experimental Probability
Theoretical Probability
Compound Events
Real-World Application
100

The probability of an event is 15%. Describe the likelihood of the event.

unlikely

100

You randomly draw a marble from a bag, record its color, and then replace it. You draw a blue marble 3 out of 50 times. What is the experimental probability that the next marble will be blue?

6%, 0.06, or 3/50

100

If you roll a 6-sided number cube, what is the theoretical probability of you rolling a number greater than 4?

1/3, 0.33, or 33%

100

You are choosing between red, blue, yellow, and green wallpaper. You are also choosing between purple or yellow carpet. How many possible outcomes are there when you select one of each?

8

100

You roll a 6-sided number cube and get an odd number 12 times in a row. What is the probability of rolling an odd number on your next roll?

1/2, 0.5, or 50%

200

The probability of an event is 4/25. Describe the likelihood of the event.

unlikely

200

You spin a spinner 50 times. You spun a 4 on 7 occasions. How many times would you expect to spin a 4 if you spun the spinner 100 times?

14

200

You are playing rock, paper, scissors. What is the probability that your opponent is going to throw "rock"?

1/3, 33%, or 0.33

200

You roll a 6-sided number cube and flip a coin. What is the probability of rolling a number less than 3 and flipping tails?

1/6, 0.167, or 16.7%

200

There is a 40% chance of snow today, 60% chance of snow tomorrow, and a 30% chance of snow the following day. What is the probability that it does not snow at all the next three days?

16.8% or 0.168

300

The probability of an event is 65%. Describe the likelihood of the event.

likely

300

You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 11 out of 20 times. What is the experimental probability that the next marble will be red?

55%, 0.55, or 11/20

300

You roll a 20-sided die. What is the probability that you roll an even number?

1/2, 50%, or 0.5

300

You choose two different movies on a list at random. Out of 12 movies on the list, 4 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie?

3/11, 0.273, or 27.3%

300

There are 10 true/false questions on a test. You know the answer to 5 of them. What is the probability of guessing the correct answer on the other 5 questions?

0.031 or 3.1%

400

The probability of an event is 0.45. Describe the likelihood of the event.

equally likely/unlikely

400

You spin a spinner 50 times. You spun a 3 on 11 occasions. How many times would you expect to spin a 3 if you spun the spinner 100 times?

22 times

400

There are 7 yellow marbles and 10 blue marbles in a bag. What is the probability of you randomly choosing a yellow marble?

7/17, 0.412, or 41.2%

400

There are 52 cards in a deck, there are 13 hearts in the deck. What is the probability of you being dealt two cards, and both of them are hearts?

1/17, 0.059, or 5.9%

400

You are playing rock paper scissors. What is the probability of you throwing paper and your opponent throwing rock?

1/9, 0.111, or 11.1%

500

The probability of an event is 13/25. Describe the likelihood of the event.

Equally likely/unlikely.

500

Samir is shooting free throws. He makes 4 and misses 6. What is the probability that he makes his next free throw?

2/5, 0.4, or 40%

500

There are 6 red marbles and 11 orange marbles in a bag. What is the probability of you randomly choosing a red marble?

6/17, 0.353, or 35.3%

500

You are picking between 4 main dishes, 5 sides, 3 desserts, and 6 drinks for your dinner. How many possible combinations are there?

360

500

There are 18 pairs of glass panels. One of them is strong enough to hold your body weight, and the other is not. What is the probability of correctly guessing which panel is strong enough to hold your weight 18 consecutive times?

1/262144, 0.0004%, or 0.000004