Exam 9: Probability

Find the requested probability. -A box contains the following mixture of colored marbles: 2 black, 3 red, 2 yellow, and 1 green. What is the probability of drawing a red marble followed by a green marble if the two marbles are Drawn without replacement?

List the elements in the sample space of the experiment. -A 6-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6. List the sample space of rolling one die.

Determine the number of outcomes as requested. -How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not allowed?

Determine whether the players have equal probabilities of winning. -Draw a card from a regular deck. If a face card is drawn, player 1 wins; if a numbered card is drawn, player 2 wins.

List the elements in the sample space of the experiment. -A box contains 10 red cards numbered 1 through 10. List the sample space of picking one card from the box.

Find the requested probability. -A box contains the eleven letters PROBABILITY. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is TAIL?

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability. -Both marbles are white.

Solve the problem. -A husband and wife have a $\frac { 2 } { 3 }$ probability of passing on brown eyes to their children. If they have three children, what is the probability that the children will all have brown eyes?

Find the probability. -When a single card is drawn from an ordinary 52-card deck, find the probability of getting a jack.