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 the

Question

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

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Luna 3 months 2022-02-02T13:32:59+00:00 1 Answer 0 views 0

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    2022-02-02T13:34:08+00:00

    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]

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45:7+7-4:2-5:5*4+35:2 =? ( )