Probability and Counting
A box contains marbles: 3 red, 6 blue, 7 yellow, and 4 purple. How many purple marbles should be added so that p(choosing a purple) becomes 0.9?
A box contains marbles: 3 red, 6 blue, 7 yellow, and 4 purple. How many purple marbles should be added so that p(choosing a purple) becomes 0.9?
A candy jar contains only grape, cherry, orange, and lemon candies. In the jar there are twice as many grape candies as cherry candies, and twice as many cherry candies as orange and lemon candies combined. If there are three times as many orange candies as lemon candies, what is the probability that a candy[…]
In a machine, the probability that it breaks down on a given day is .16. Within one week (7 days), find the probability that the machine breaks down at least once.
The probability of winning a chess game is .54. If you play 2 games, what is the probability that you win twice?
A license plate contains 3 letters followed by 2 numbers. Letters can be repeated. Numbers cannot be repeated. Find the probability that a given license plate contains the letter F as the first letter.
Susan owns a flower shop. She has a selection of 8 orchids, 6 roses, and 5 petunias. A couple comes in to choose flowers for their upcoming wedding. They decide to randomly select 3 flowers. What is the probability that they select 2 orchids and 1 rose? What is the probability that they select 3[…]
If n is an even integer, which of the following must be an odd integer? 3n-2 3(n+1) n-2 n/3 n^2
The number that is 400% greater than 15 is what percent greater than 150% of 30?
In the sequence (4,12,36,x,324), what is the most likely value of x?
If increasing 20 by P percent gives the same result as decreasing 60 by P percent, what is P percent of 70?