A woman plans to have two children. The probability that each child is a boy is 0.525, and the birth sexes of the two children are independent. What is the probability that she will have one child of each sex? (Round your answer to four decimal places.)

On a roll of two dice, Serena bets that the sum will be 6, and Donald bets that the sum will be 9 a. Find the probability of each bet,  Serena and Donald bets. b. Who is the winner of the bet

Marty has a jumble of socks in his drawer. If he picks a pair of socks randomly from his drawer, what is the probability Marty will pick a gray pair of socks? Each set of two socks is a pair.b = blue, r = red, g = gray   A. 2/5 B. 4/5 C. 3/10 D. 3/5

The batteries manufactured by a certain company are tested to see if they last as long as the manufacturer claims. The probability that a battery passes the test is 0.85. Three batteries are selected at random and tested. what is a. The probability that all three batteries pass the test b. The probability that all three batteries fail the test. c. The probability that at least one battery fails the test. d The probability that at least one battery passes the test.

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly two girls in ten births.   A. 11.250 B. 0.044 C.0.2 D.0.02

A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen. What is the probability that he chooses trees of two different types? Express your answer as a percent. O 30% O40% 50% O60% DELL

Joe decided to spend his day fishing. He knows that the probability that a single cast will be a success and catch a fish is 0.10 and the probability of a successful cast stays constant no matter how many times he casts. a. If he casts 10 times, what is the probability that he will catch exactly 1 fish? b. What is the probability of catching his first fish on the 10th cast? c. What is the probability of catching exactly 2 fish from 10 casts? d. What is the probability of catching his second fish on the 10th cast? e. The probability distribution used for a. is which case below: Bernoulli, Binomial, Geometric, Negative Geometric, Hypergeometric, Poisson, Uniform, Normal, Multinomial or something not in this list f. The probability distribution used for b. is which case above? g. The probability distribution used for c. is which case above? h. The probability distribution used for d. is which case above?

(See attached image - type an integer or a decimal.)

Use the formula for the probability of the complement of an event.A pair of dice is rolled 3 times. What is the probability that a sum of 5 on the 2 dice will occur at least once? (Round your answer to three decimal places.)

Find the probability that when a couple has two children, at least one of them is a girl. (Assume that boys and girls are equally likely.) The probability is that at least one of the two children is a girl. (Simplify your answer. Do not round.)