In a packet of stickers there are 3 small stars, 8 big stars, 13 small rockets, and 7 big rockets. Henry is going to choose one of these stickers from the packet at random to put on his artwork. What is the probability that the sticker Henry chooses is big or is a star?Do not round intermediate computations, and round your answer to the nearest hundredth.

Mr. Turner is about to give one of his students a piece of candy for asking a good question in class. He's going to choose the piece of candy at random out of a bag he brings to class. The following pieces of candy are in the bag: 3 apple gumballs, 6 grape gumballs, and 10 grape suckers. But, there are no apple suckers. What is the probability that the piece of candy Mr. Turner chooses is apple or is a sucker?Do not round intermediate computations, and round your answer to the nearest hundredth.

Pramod goes to a shop to buy some clothes. Shopkeeper shows him 7 shirts, 5 pants and 10 t-shirts. If he selects three clothes at random, then find the probability that, at least one of the clothes is shirt. (Enter the answer correct to two decimal places)

On a popular app, users rate hair salons as 1, 2, 3, 4, or 5 stars. Suppose a rating is randomly selected from all the ratings on the app. Let X be the number of stars of the selected rating. Here is the probability distribution of X.Value x of X 1 2 3 4 5P=Xx 0.24 0.20 0.09 0.20 0.27For parts (a) and (b) below, find the probability that the randomly selected hair salon rating has the described number of stars.(a) 4 or more:(b) Fewer than 3:

Pramod goes to a shop to buy some clothes. Shopkeeper shows him 7 shirts, 5 pants and 10 t-shirts. If he selects three clothes at random, then find the probability that, randomly chosen clothes are of different type. (Enter the answer correct to three decimal places)

The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 500 trials and got the following results.Outcome 0 1 2 3 4 5 6 7 8 9Number of Trials 41 40 50 64 59 43 51 52 50 50Fill in the table below. Round your answers to the nearest thousandth.(a) Assuming that the machine is fair, compute the theoretical probability of getting a 1.(b) From these results, compute the experimental probability of getting a 1.(c) Assuming that the machine is fair, choose the statement below that is true:With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.With a large number of trials, there must be a large difference between the experimental and theoretical probabilities.With a large number of trials, there must be no difference between the experimental and theoretical probabilities.