Two soccer players have one penalty kick each. The probability of each player scoring with a penalty kick is 0.2 and 0.3, respectively. What is the probability that at least one of them will score?

Question

Two soccer players have one penalty kick each. The probability of each player scoring with a penalty kick is 0.2 and 0.3, respectively. What is the probability that at least one of them will score?

Answer 1

The prob(both will miss) = .8(.7) = .56

so the prob(at least one score) = 1 - .56 = .44

or

W W = (.2)(.3) = .06
W L = (.2)(.7) = .14
L W = (.8)(.3) = .24
L L = (.8)(.7) = .56

.06 + .14 + .24 = .44