8.2.1 Simulating Multi-Step Experiments

Multiple Choice

Why is simulating multi-step events important in understanding real-world situations involving probability?

• It helps us guess answers without doing any math

• It shows how outcomes can change when events happen in sequence

• It guarantees the same result every time

Multiple Choice

A simulation is useful when it is difficult to gather enough information to estimate the probability of a particular event. True or False?

• True

• False

Draw

What is the probability the first contestant will get the prize?

Multiple Choice

Which of these simulations represents the same scenario as the door prize: There are 3 doors, 1 door has the prize. Each of the 5 contestants must choose a door. What is the probability that at least 3 contestants get the prize.

Draw

Mark each spin with the outcome we get after a spin.

Multiple Choice

Which simulation matches the situation of finding the probability that at least 3 out of 5 fish caught are female, given that 25% of the fish in the lake are female?

• A) Toss a fair coin 4 times and record the outcomes.

• B) Make a spinner with four equal sections labeled 1, 2, 3, & 4. Spin the spinner 5 times and record the outcomes.

Multiple Choice

How many marbles of each color should Noah put in the bag to simulate the probability that at least one battery will die before 15 hours are up, given the probability of a battery dying is 1/3?

• 1 red, 2 green

• 2 red, 1 green

• 1 red, 3 green

• 3 red, 1 green

Open Ended

What is the sample space for selecting a letter at random from the word 'PINEAPPLE'?