(c) A prize wheel has 8 fields of different sizes that are numbered 1, 2, 3, 4, 5, 6, 7 and 8. The probabilities for the following events are known: 𝑃({8,1,3,7})=913 and 𝑃({8,2,4,5,6})=713.Find 𝑃({8})=? (Enter as a reduced fraction).

There are 8 people taking part in a raffle.Ann, Bob, Elsa, Hans, Kira, Omar, Ravi, and Soo.Suppose that prize winners are randomly selected from the 8 people.Compute the probability of each of the following events.Event A: The first four prize winners are Soo, Bob, Kira, and Hans, regardless of order.Event B: Kira is the first prize winner, Bob is second, Omar is third, and Ann is fourth.Write your answers as fractions in simplest form.PA = PB =

You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.Let B = the event of landing on blue.Let R = the event of landing on red.Let G = the event of landing on green.Let Y = the event of landing on yellow.If you land on Y, you get the biggest prize. Find P(Y). (Enter your probability as a fraction.)

Maureen counted the boxes of cereal in a grocery store with different sizes and numbers of prizes.The probability that a box of cereal is family size is 0.5, the probability that it contains a prize is 0.3, and the probability that it is family size or contains a prize is 0.6.What is the probability that a randomly chosen box of cereal is family size and contains a prize?Write your answer as a whole number, decimal, or simplified fraction.

4 pointsTwo bags (𝐵1𝑎𝑛𝑑𝐵2)(B 1​ andB 2​ ) containing candies are placed on a table. Bag 𝐵1B 1​ contains 7 cinnamon candies and 4 ginger candies. Bag 𝐵2B 2​ contains 3 cinnamon candies and 8 ginger candies. The boxes are arranged such that the probability of selecting bag 𝐵1B 1​ is 1⁄3 and the probability of selecting bag 𝐵2B 2​ is 2⁄3. Suman is blindfolded and asked to select a candy. She will win a colour TV if she selects a cinnamon candy. Based on the given information, answer the questions (9) and (10).What is the probability that Suman will win the TV?7/332/111/213/33

A wheel has 5 equally sized slices numbered from 1 to 5.Some are grey and some are white.The slices numbered 2 and 3 are grey.The slices numbered 1, 4, and 5 are white.The wheel is spun and stops on a slice at random.Let X be the event that the wheel stops on a white slice, and let PX be the probability of X.Let not X be the event that the wheel stops on a slice that is not white, and let Pnot X be the probability of not X. (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Event Outcomes Probability1 2 3 4 5X =PXnot X =PnotX(b)Subtract.=−1PnotX (c)Select the answer that makes the sentence true.−1Pnot X is the same as ▼(Choose one).