If a baseball player gets a hit 42% of his at bats, what is the probability that the baseball player will get a hit in 4 at bats in a row?

Question

If a baseball player gets a hit 42% of his at bats, what is the probability that the baseball player will get a hit in 4 at bats in a row?

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Nho 6 months 2021-07-17T08:09:15+00:00 1 Answers 4 views 0

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    2021-07-17T08:11:05+00:00

    Answer:

    Probability of one hit in 4 in a row = 42% = 42/100

    Probability of 4 hits in a row = 3.1% = 31/1000

    Step-by-step explanation:

    Since all throws are independent events;

    If 4 hits in a row

    You can make a fraction and square by the amount of hits so if the questions asking 4/4 hits see below or change to the amount of hits you need.

    (42/100)^4 = 0.03111696

    This is 3.1%

    42/100^1 stays 42% = 42/`100

    42/100^2 becomes 17.64% = 441/2500

    42/100^3 becomes  7.4% = 37/500

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