Simulation of Compound Events

Carl hits the target 50% of the time he throws a ball at it. Carl uses a coin to simulate his next three pitches. The assigns H for a hit and T for a miss. The results of the 12 trials are shown below. Based on the results, what is the probability that Carl will hit the target with exactly two of his next three throws?

• 4/12

• 5/12

• 3/12

• 6/12

Molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulation of two free throws, using the numbers 0 through 9. Let the numbers 0 to 6 represent a successful free throw, and let the numbers 7 to 9 represent a missed free throw. Based on the simulated results, what is the probability that Molly will make both free throws?

• 25%

• 35%

• 20%

• 30%

Julie used a number cube to simulate a flower seed sprouting, for which the success rate is 50%. She used even numbers to represent success and odd numbers to represent failure. The results of 8 trials that simulate the sprouting of five seeds are shown below. Based on the simulated results, what is the probability that none of the next five flower seeds will sprout successfully?

• 5/8

• 4/8

• 1/8

• 2/8

Inspection of items at a company shows that an item has a 50% chance of being defective. A spinner with equal-sized sections numbered 0 to 9 can be used to simulate the event that the next 2 items are defective. How would you assign numbers to represent the defective items?

• 0 to 3

• 0 to 9

• 0 to 5

• 0 to 4

Suppose Arun has an 80% chance of winning a game. For a simulation, the numbers 0 to 7 represent winning, and the numbers 8 and 9 represent losing. Which of the possibilities below represents 5 wins in a row out of 6 games played for all three trials?

• 090987, 374699, 807698

• 034148, 972621, 337258

• 173684, 839415, 479823