Answer:
The correct option is option [B].
The probability that both girls Selena and Tracey will a next at bat is [tex]\frac{48}{320}[/tex].
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)
[tex]=\frac{8}{20}[/tex]
The probability that the Tracey his a softball is
=P(B)
[tex]=\frac{6}{16}[/tex]
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)
[tex]=\frac{8}{20}\times \frac{6}{16}[/tex]
[tex]=\frac{48}{320}[/tex]
