Explore BrainMass
Share

Explore BrainMass

    Conditional probability, combinations, permutations

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

    Find the number of possible combinations of picking 2 items out of 6.

    -------------------------------------------------------------------------------------------------------

    How many permutations of answers are possible in a true-false test consisting of 10 questions?

    -------------------------------------------------------------------------------------------------------

    A meeting is to be addressed by 5 speakers, A, B, C, D, and E. In how many ways can the speakers be ordered if B must not follow A?

    -------------------------------------------------------------------------------------------------------

    Calculate the probability of a number card (A, 2, 3, 4, 5, 6, 7, 8, 9, 10) being drawn from a deck of cards

    -------------------------------------------------------------------------------------------------------

    The Chicago Blackhawks hockey team has a probability of winning of 0.6 and a probability of losing of 0.25. What is the probability of a tie?

    -------------------------------------------------------------------------------------------------------

    It has been estimated that in 70% of fatal accidents involving two cars, at least one of the drivers is drunk. If you hear of a two-car fatal accident, what odds should you give a friend for the event that at least one of the drivers was drunk?

    -------------------------------------------------------------------------------------------------------

    For a 3-child family, find the probability of exactly 1 girl, given that the first child is a boy.

    -------------------------------------------------------------------------------------------------------

    If 2 cards are drawn from a regular deck of 52 cards without replacement, what is the probability that the second card is a queen? (Note: your final answer must be a single probability)

    -------------------------------------------------------------------------------------------------------

    A pair of fair dice is thrown 3 times. What is the probability that on the first toss the sum of the 2 dice is even, on the second toss the sum is less than 6, and on the third toss the sum is 7? (Note: your final answer must be a single probability)

    © BrainMass Inc. brainmass.com October 9, 2019, 7:39 pm ad1c9bdddf
    https://brainmass.com/math/probability/125330

    Solution Preview

    Let C(n,m)=n!/(m!*(n-m)!), P(n,m)=n!/(n-m)!

    Find the number of possible combinations of picking 2 items out of 6.
    Answer: C(6,2)=15

    --------------------------------------------------------------------------------
    How many permutations of answers are possible in a true-false test consisting of 10 questions?
    Answer: 2^10=1024
    -------------------------------------------------------------------------------------------------------

    A meeting is to be addressed by 5 speakers, A, B, C, D, and E. In how many ways can the speakers be ordered if B must not follow A?
    Answer: 5!/2=60
    -------------------------------------------------------------------------------------------------------

    Calculate the probability of a number card (A, 2, 3, 4, 5, 6, ...

    Solution Summary

    This is a series of questions regarding permutations, combinations, and conditional probability.

    $2.19