Exam 11: Probability

Decide whether or not the events are mutually exclusive. -Events A and B defined as follows Event A is that at least three of Toni's five cousins are female. Event B is that at most four of Toni's five cousins are male.

Solve the problem. -A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the cube showing a number less than 3?

Find the indicated probability. -A card is drawn at random from a standard 52-card deck. Find the probability that the card is an ace or not a club.

Solve the problem. -In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place Winner, and third place winner at random from these seven students, what is the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize?

Decide whether or not the events are mutually exclusive. -Wearing a coat and wearing a sweater

Solve the problem. -A family has three children. What is the probability that two of the children are boys?

Find the probability. -Find the probability of correctly answering the first 4 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.

Decide whether or not the events are mutually exclusive. -Speaking Spanish and speaking Chinese

Solve the problem. - What are the odds in favor of drawing a 1 from these cards?

Solve the problem. -Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. If they arrange themselves randomly, what is the probability that all the women will sit in adjacent Seats and all the men will sit in adjacent seats?

Find the probability. -Three fair coins are tossed. Find the probability of getting the same thing on all three coins.

It has been observed in one country, that 59 out of every 100 births is a baby with brown eyes. In 640 births how many brown eyed babies would you expect?

Find the probability. -When a pair of dice is rolled there are 36 different possible outcomes: 1-1, 1-2, ... 6-6. If a pair of dice is rolled 4 times, what is the probability of getting a sum of 5 every time?

Find the probability. -Two fair 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice is greater than 10?

The table shows the number of college students who prefer a given pizza topping. toppings freshman sophomore junior senior cheese 12 12 22 21 meat 28 21 12 12 veggie 12 12 28 21 Find the empirical probability that a randomly selected freshman prefers cheese toppings.

Find the conditional probability. -If a single fair die is rolled, find the probability that the number rolled is 5 given that it is odd.

Solve the problem. -The Gray Stone Rock Band will give 10 performances this season. Four of these will be only songs from the 70s. If Tony gets to pick two tickets at random, what is the probability that he will get both 70s tickets?

Use the general multiplication rule to find the indicated probability. -You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.

Mendel found no dominance in snapdragons with respect to red and white flower color. When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of each Gene)produces second generation offspring with pink flowers. Suppose one of these second Generation pinks is crossed with a pure white. What is the probability that the resulting Snapdragon will have pink flowers?

Mendel found that flower color in certain pea plants obeyed this scheme: Pure red crossed with pure white produces red. When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of Each gene)produces second generation offspring with red flowers, since red is dominant. Suppose That two of these second generation Rr flowers are crossed. What is the probability that the Resulting plant will have red flowers?