Question

Penelope is playing football. when attempting to score a penalty the probability she scores is 2/3. during the game , Penelope takes two penalties .find the probability that Penelope scores both.

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Answer 1

Answer:

The probability that Penelope scores both the penalties is $\frac{4}{9}$.

Step-by-step explanation:

he probability that Penelope scores a penalty is,

$P (Scoring\ a\ Penalty) = \frac{2}{3}$

The event of scoring penalties are independent of each other since the result of the previous penalty does not effect the second penalty.

The probability that Penelope scores both the penalties is:

P (Scoring both the penalties) = P (Scoring the 1st) × P (Scoring the 2nd)

                                                  $=\frac{2}{3}\times \frac{2}{3}\\ =\frac{4}{9}$

Thus, the probability that Penelope scores both the penalties is $\frac{4}{9}$.