If the probability is 0.55 that a person will believe in a fake news. find the probability that the 10th person to hear the news is the 7th

Question

If the probability is 0.55 that a person will believe in a fake news. find the probability that the 10th person to hear the news is the 7th one believe it.also find the probability that the first two to hear the fake news does not believe it.​

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Ruby 5 months 2021-08-16T13:31:14+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-16T13:32:18+00:00

    Answer:

    I know u applied to st Stephen’s yaar ..

    Ba eco program ke liye

    Yaar nai milta kaha bhi ye prob dimag lagana hi padega

    Step-by-step explanation:

    0
    2021-08-16T13:32:31+00:00

    The probability that the 10th person to hear the news is the 7th one to believe it is 0.117

    Probability that first two to hear the fake news does not believe it is 0.2025

    Step-by-step explanation:

    Let A be an even such that

    A: Person believing in fake news

    Then, given that

    P(A) = 0.55

    P(\bar A)=1-0.55=0.45

    The 10th person to hear the fake news also believes it and he is the 7th

    i.e. out of 9 persons before him, 6 must believe the fake news

    Thus, the required probability

    =^9C_6(0.55)^6(0.45)^3\times 0.55

    =\frac{9!}{3!6!}\times 0.55^7\times 0.45^3

    =\frac{9\times 8\times 7}{3\times 2}\times 0.55^7\times 0.45^3

    =0.117

    Probability that the first two persons to hear the fake news does not believe it

    =0.45\times 0.45

    =0.2025

    Hope this answer is helpful.

    Know More:

    Q: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?


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