Question

pedro has determined that the probability his shot will score in a lacrosse game is 0.30. what is the probability that he will score on two consecutive shots? 0.09 0.15 0.30 0.60

Explanation:

Step1: Identify the nature of events

The two shots are independent events. The probability of one event (scoring on a shot) does not affect the probability of the other event (scoring on the next shot).

Step2: Apply the formula for independent events

For two independent events \(A\) and \(B\), the probability of both \(A\) and \(B\) occurring is \(P(A\cap B)=P(A)\times P(B)\). Let \(P(A) = P(B)=0.30\) (probability of scoring on a single shot). Then \(P(A\cap B)=0.30\times0.30\).

Step3: Calculate the product

\(0.30\times0.30 = 0.09\)

Answer:

0.09