Question

Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks, as shown. Heads up (H) represents a goal. What is the probability that Isaiah will make both penalty kicks? Give the probability as a percent. Enter your answer in the box.
TH HH TT HT
TH HH HH TT
HT TH TT HH
HT HH HH TT
HT HH TH TT

Answer 1

The probability that Isaiah makes a penalty kick is the likelihood of making the kick

The probability that Isaiah makes both penalty kicks is 35%

How to determine the probability?

From the sample space, there are 7 occurrences where Isaiah makes both penalty kicks, and there are 20 occurrences in all

So, the probability (p) that Isaiah makes both penalty kicks is:

p = 7/20

Evaluate the quotient

p = 0.35

Express as percentage

p = 35%

Hence, the probability that Isaiah makes both penalty kicks is 35%

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