Explore BrainMass

Explore BrainMass

    Probability Calculations

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

    1) Two cards are drawn from an ordinary deck of 52 cards find the probability of each event showing your reasoning carefully

    a. two aces
    b. two red cards
    c. two red aces
    d. two honor cards (A, K, Q, J, 10).

    2) A certain airplane has two independent alternators to provide electrical power the probability that a given alternator will fail on a 1-hour flight is .02. what is the probability that
    a. both will fail?
    b. neither will fail
    c. one or the other will fail? show all steps carefully

    3) A die is thrown (1,2,3,4, 5, 6,) and a coin is tossed (H, T)
    a. enumerate the elementary events in the sample space for the die/coin combination
    b. are the elementary events equally likely? explain

    © BrainMass Inc. brainmass.com June 3, 2020, 10:26 pm ad1c9bdddf
    https://brainmass.com/statistics/probability/probability-calculations-231234

    Solution Preview

    Please see attached file
    1 two cards are drawn from an ordinary deck of 52 cards find the probability of each event showing your reasoning carefully

    a two aces

    Total number of cards= 52 cards
    Total number of ways of selecting 2 cards out of 52 cards= 1326 =combin (52,2)

    where combin (52,2) stands for selecting 2 out of 52 cards

    Total number of aces= 4 aces
    Total number of ways of selecting 2 aces out of 4 aces= 6 =combin (4,2)

    where combin (4,2) stands for selecting 2 out of 4 aces

    Therefore, probability of two aces= 0.004525 or 1/221 =6/1326

    Answer: 0.004525 or 1/221

    b two red cards

    Total number of cards= 52 cards
    Total number of ways of selecting 2 cards out of 52 cards= 1326 =combin (52,2)

    where combin (52,2) stands for selecting 2 out of 52 cards

    Total number of red cards = 26 red cards
    Total number of ways of selecting 2 red cards out of 26 red cards = 325 =combin (26,2)

    where combin (26,2) stands for selecting 2 ...

    Solution Summary

    Answers questions on calculations of probability.

    $2.19

    ADVERTISEMENT