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 independent events

The events of scoring on the first - shot and scoring on the second - shot are independent.

Step2: Use the multiplication rule for independent events

If \(A\) and \(B\) are independent events, \(P(A\cap B)=P(A)\times P(B)\). Here, \(P(A) = P(B)=0.30\), so \(P(A\cap B)=0.30\times0.30\).
\(0.30\times0.30 = 0.09\)

Answer:

A. 0.09