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Probability

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1) What is the probability of tossing 6 coins and getting at least two tails?

2) Suppose you flip a penny, a nickel,a dime and a quarter. What is the probability of getting heads on the penny and nickel and dime and tails on the quarter?

Please show steps for the solutions.
Thank you.

  • Probability - ,

    p tails in 1 toss = .5
    binomial distribution
    p = .5
    number of trials , n , = 6
    number of successes = 2,3,4,5,6
    number of failures = 0,1
    so easier to work it backwards
    what is the probability of 0 or 1 heads
    p is still .5
    p(0 heads) = C(6,0) (.5^0)(.5)^6 = .0156
    p(1 heads) = C(6,1)(.5^1)(.5)^5 = 3*.03125 = .09375
    sum = about .11
    1 - .11 = .89

  • Probability - ,

    Suppose you flip a penny, a nickel,a dime and a quarter. What is the probability of getting heads on the penny and nickel and dime and tails on the quarter?
    -------------------
    independent experiments
    1/2*1/2*1/2*1/2

  • Probability - ,

    a dime rolled 5 times find the probability of getting 4 exactly 5 times

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