Explore BrainMass

Explore BrainMass

    Binomial Distribution

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    1.If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are queens.
    2. A fair coin is tossed 8 times in succession. Find the probability of getting at least 4 heads.
    3. A die is rolled twice. Find the probability of getting two numbers whose sum exceeds 5.
    4.How many different five-letters passwords can be formed from the letters A,B,C,D,E,F,G,H,I,J,K if no repitition is allowed? And if repitition of letters is allowed?

    © BrainMass Inc. brainmass.com March 4, 2021, 5:59 pm ad1c9bdddf
    https://brainmass.com/statistics/probability/binomial-distribution-21733

    Solution Preview

    1.If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are queens.
    Sol: There are 4 queens in a deck of 52 cards.
    Probability that a card pulled out is a queen: p = 4/52 = 1/13.
    Number of trials = 3
    Therefore, the probability that each of the three cards is a queen = p*p*p
    = 0.000455

    2. A fair coin is tossed 8 times in succession. Find the probability of getting at least 4 heads.
    Sol: Probability that a head is got = p = 0.5
    Probability that a tail is ...

    $2.49

    ADVERTISEMENT