You have a bucket with 500 coins. 499 of them are normal coins, but one of them is double headed. You pick a coin randomly from this bucker

Question

You have a bucket with 500 coins. 499 of them are normal coins, but one of them is double headed. You pick a coin randomly from this bucker and flip it 5 times. If you picked a normal coin, what would be the probability of flipping 5 heads?

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Isabelle 2 weeks 2021-10-11T20:16:28+00:00 2 Answers 0

Answers ( )

    0
    2021-10-11T20:17:29+00:00

    Answer:

    If a normal coin is picked then probability of flipping 5 heads = 0.031

    Step-by-step explanation:

    Given:

    Number of coins = 500

    Number of normal coins =499

    Number of double headed coin = 1

    Event A:

    Pick a normal coin

    Probability of event A to occur P(A)=\frac{Number\ of\ normal\ coins}{Total\ number\ of\ coins} =\frac{499}{500}

    Event B:

    Normal coin is flipped 5 times to get head.

    Probability of flipping one head at a time = \frac{1}{2}

    Probability of event B to occur (flipping 5 heads)

    P(B) =\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{32}  

    Probability of event A and B to occur together =P(A)\times P(B)=\frac{499}{500}\times \frac{1}{32}=0.031

    If a normal coin is picked then probability of flipping 5 heads = 0.031

    0
    2021-10-11T20:17:44+00:00

    Answer:

    get back here ducking bench

    Step-by-step explanation:

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