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Showing posts with the label probability

Product of Two Numbers

There are eight balls in a bag, which are labeled as -7, -5, -3, -1, 1, 3, 5, 7 respectively. Leo randomly picks two balls. What's the probability that the product of the two is 35?

1v1 Basketball

Dr. Hong and Leo play a series of 1v1 basketball games until one of them has won two games. No game ends in a tie. In any single game, the probability that Dr. Hong wins is 80%. What is the probability that they play exactly 2 games?

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A similar problem was given in Assignment 1 of Charlotte Math Meetup:

Team A and Team B play a series of games until one of them has won two games. No game ends in a tie. In any single game, the probability that Team A win is 70%. What is the probability that they play exactly 2 games?

Pick a Number

An integer is chosen at random from the set {21, 22, 23, ..., 81}. What's the probability that the chosen number is one more than a multiple or 4 or one more than a multiple of 5?

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A similar problem was given in Assignment 2 of Charlotte Math Meetup:

An integer is chosen at random from the set {41, 42, 43, ..., 67}. What's the probability that the chosen number is one more than a multiple or 4 or one more than a multiple of 5? (Please express the answer as a decimal number rounded to hundredth.)