Problem 2
WINK, Inc., conducted a demographic study of thousands of families that have exactly three biological children. What is the percentage probability that all the children in a randomly selected family will be the same gender? A. \(40 \%\) B. \(25 \%\) C. \(12.5 \%\) D. \(10 \%\)
Problem 3
WINK, Inc., conducted a demographic study of thousands of families that have exactly three biological children. What is the percentage probability that a randomly selected family in the study will have at least one girl? A. \(50 \%\) B. \(75 \%\) C. \(87.5 \%\) D. \(100 \%\)
Problem 4
WINK, Inc., conducted a demographic study of thousands of families that have exactly three biological children. Construct a probability tree for the different arrangements of genders of children in a randomly selected family. Use this tree to determine the probability of a family having two girls and one boy.
Problem 5
Mrs. Denton has 10 test questions to choose from to make up a five-question section of an exam. How many combinations of questions are possible? A. 15 B. 50 C. 252 D. 500
Problem 6
Use the following for questions 6–8. Said is getting dressed without turning on the light so that he won’t wake his brother. He is picking socks, but he cannot tell the colors of the socks in his sock drawer in the dark. He knows that there are 12 black socks, 8 red socks, and 16 brown socks in the drawer. If Said picks out a brown sock first, what is the probability that he will need to make at least three picks to get a pair? A. \(\frac{3}{4}\) B. \(\frac{4}{7}\) C. \(\frac{4}{9}\) D. \(\frac{1}{3}\)
Problem 8
Said is getting dressed without turning on the light so that he won’t wake his brother. He is picking socks, but he cannot tell the colors of the socks in his sock drawer in the dark. He knows that there are12 black socks, 8 red socks, and 16 brown socks in the drawer. None of the first three socks Said picks are the same color. What is the probability that he will not make a matched pair with his next pick? A. \(100 \%\) B. \(67 \%\) C. \(33 \%\) D. \(0 \%\)
Problem 11
What is the probability that six letters randomly selected from the alphabet will be picked in alphabetical order? A. \(\frac{3}{13}\) B. \(\frac{1}{20}\) C. \(\frac{1}{120}\) D. \(\frac{1}{720}\)
Problem 12
If a fair coin is tossed four times, what is the probability of getting tails exactly twice? A. \(\frac{1}{4}\) B. \(\frac{3}{8}\) C. \(\frac{1}{2}\) D. \(\frac{3}{4}\)
Problem 16
If a fair coin is flipped six times, what is the probability that the result will include at least one head? A. \(\frac{1}{64}\) B. \(\frac{1}{12}\) C. \(\frac{3}{4}\) D. \(\frac{63}{64}\)
Problem 36
One hundred tickets are sold for a raffle. You bought five tickets and won neither the first nor the second prize. What is the probability of your winning third prize? A. \(\frac{3}{100}\) B. \(\frac{3}{98}\) C. \(\frac{1}{20}\) D. \(\frac{5}{98}\)