Selena and Tracey play on a softball team.Selena has 8 hits out of 20 times at bat, andTracey has 6 hits out of 16 times at bat.Based on their past performance, what is theprobability that both girls will get a hit nexttime at bat?[A] 31 40[B] 48 320[C] 1 [D] 14 36

The correct option is option [B].

The probability that both girls Selena and Tracey will a next at bat is .

Step-by-step explanation:

Independent events:

If A and B are event. The occurrence of one of them does not affect the outcomes of other event. Then A and B are independent events.

P(A and B) =P(A)× P(B)

Dependent events:

If A and B are event. The outcomes of one of them affects the outcomes of other event. Then A and B are called dependent events.

P(A and B) =P(A)× P(B|A)= P(B)×P(A|B)

Given that,

Selena has 8 hits out of 20 times at bat.

The number of hits by Tracey out of 16 is 6 at bat.

A= Selena hits a softball.

B= Tracey hits a softball.

The probability that the Selena his a softball is

=P(A)

The probability that the Tracey his a softball is

=P(B)

Both event are independent. Sine the events do not affect the outcomes of other event.

The probability that both girls will a next at bat is

=P(A and B)

=P(A)×P(B)

In a pond there are 56 fish.

12 of the fish in the pond are red that means that 44 of the fish are not red.

We can use the fraction to represent the 12 red fish out of all the fish together.

can be reduced by dividing both the numerator and denominator by the greatest common factor of 12 and 56. reduced is .

3 ÷ 14 = 0.21428571428571

0.21428571428571 × 100 = 21.428571428571%

Therefore, 21.428571428571% of the fish are red.