Suppose a math class contains 25 students, 11 females (two of whom speak French) and 14 males (five of whom speak French). Compute the probability that a randomly selected student is female, given that the student speaks French.

Of the cartons produced by a company, 10% have a puncture, 4% have a smashed corner, and 1.3% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.) %.

An urn contains five white balls and six red balls. The second urn contains 8 white balls and four red balls. An urn is selected and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is .75. If the ball is red, find the probability that the second urn was selected.

An urn contains 10 red marbles, 7 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. a. Find the probability all three marbles are the same color. b. Find the probability that none of the three marbles are white.

Suppose that you have 10 coins: 3 dimes, 3 quarters, and 4 nickels. Two coins are selected at random. What is the probability that you choose exactly 30 coins?

Suppose a math class contains 41 students, 19 females (two of whom speak French) and 22 males (three of whom speak French). Compute the probability that a randomly selected student is male, given that the student speaks French.

9% of all Americans live in poverty. If 38 Americans are randomly selected, find the probability thata.  Exactly 4 of them live in poverty. b.  At most 4 of them live in poverty. c.  At least 2 of them live in poverty.