Probability of Compound Events #3

Solve compound probability problems! Practice independent & dependent events with dice, cards, & more.

FILL IN THE BLANKS:You roll a fair number cube. Find each probability. 1) P (3, then 5) = 1 P (2, then 2) = 1 P (4, then odd) = 1 FILL IN THE BLANKS:A box contains 15 billiards balls, numbered 1 through 15. Anna draws a ball, records the number, and then returns it to the box. Then Vicki draws a ball. Find each probability. 4) P (9, then 3) = 1 P (8, then odd) = 8 P (even, then odd) = 56 FILL IN THE BLANKS:Each letter of L I T T R E L L is written on a card. The cards are placed in a basket. Find each probability if Elsa selects a card, leaves it out, and then selects another card. 7) Is this an independent or dependent event? Explain: FILL IN THE BLANKS:Using the same letters and situation from the previous problem, find the following probabilities: 8) P (T, then E) = 1 P (T, then T) = 1 P (E, I) = 1 COMPLETE THE TABLE: PROBLEM TYPE OF EVENTS SOLUTION (Fraction in simplest form) Lisa has a coin with heads on one side and tails on the other side. She is going to flip it in the air three times. What is the probability of the coin landing tails up on the first flip and heads up twice on the last two flips? P (Tails, then heads, then heads) Independent 1 Bill’s golf bag contains 9 white golf balls, 6 yellow golf balls, 1 orange golf ball, and 1 pink golf ball. Without looking, Tim is going to take 1 golf ball out of his bag to tee off with and a different golf ball out to putt with. What is the probability of Tim teeing off with a white ball and putting with an orange ball? P (white, then orange) Dependent 9 A drawer contains 10 blue pens, and 10 red pens. Without looking, Mrs. Stanton is going to take one pen from a drawer, use it, and then put it back in the drawer. Then he is going to take another pen from the drawer to use. What is the probability of Mrs. Stanton taking a red pen first and then taking a blue pen? P (red, then blue)? Independent 1 There are 5 slices of pepperoni pizza, 1 slice of sausage pizza, and 3 slices of cheese pizza left. Without looking, Mr. Douglas took a slice of pizza, ate it, and then took another slice. What is the probability of Mr. Douglas eating two slices of cheese pizza? Dependent 1