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 probability of each shot

The probability of scoring a single shot \(P(A)=0.30\). Since the two shots are independent events, the probability of the second shot scoring \(P(B) = 0.30\) as well.

Step2: Use the formula for independent events

For independent events \(A\) and \(B\), the probability of both \(A\) and \(B\) occurring is \(P(A\cap B)=P(A)\times P(B)\).
Substitute \(P(A) = 0.30\) and \(P(B)=0.30\) into the formula: \(P(A\cap B)=0.30\times0.30\).

Step3: Calculate the result

\(0.30\times0.30 = 0.09\)

Answer:

0.09