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Given the following probabilities, which event is most likely to occur?

Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the wall 7 times in 28 attempts. Determine the probability of Zahra climbing to the top this time.

Two dice are rolled. Let A represent rolling a sum greater than 7. Let B represent rolling a sum that is a multiple of 3. Determine n(A Ç B).

Two dice are rolled. Let A represent rolling a sum greater than 8. Let B represent rolling a sum that is a multiple of 3. Determine P(A Ç B).

Misha draws a card from a well-shuffled standard deck of 52 playing cards. Then he puts the card back in the deck, shuffles again, and draws another card from the deck. Determine the probability that both cards are even numbers.

Rino has six loonies, four toonies, and two quarters in his pocket. He needs two loonies for a parking meter. He reaches into his pocket and pulls out two coins at random. Determine the probability that both coins are loonies.

Carlo goes to the gym and does two different cardio workouts each day. His choices include using a treadmill, a stationary bike, and running the track. Determine the probability that the next time Carlo goes to the gym will use the stationary bike and then run the track.

A five-colour spinner is spun, and a die is rolled. Determine the probability that you spin yellow and roll a 6.

There are 35 cards, numbered 1 to 35, in a box. Two cards are drawn, one at a time, with replacement. Determine the probability of drawing two multiples of 10.

Select the independent events.

Jessica rolls a standard die. Determine the probability of her rolling a 2.

Ned plays hockey. He has scored 5 times out of 25 shots on goal. He says the odds in favour of him scoring are 1 : 5. Is he right? Explain.

A die is rolled twice. Determine the probability that the first roll is greater than 2, and the second roll is odd.

Trista remembers to set her alarm clock 82% of the time. When she does remember to set her alarm clock, the probability that she will be late for school is 0.30. When she does not remember to set it, the probability that she will be late for school is 0.60. Trista was late today. What is the probability that she remembered to set her alarm clock? Show your work.

A paper bag contains a mixture of three types of treats: 12 granola bars, 10 fruit bars, and 8 cheese strips. Suppose that you play a game in which a treat is randomly taken from the bag and replaced, and then a second treat is drawn from the bag. You are allowed to keep the second treat only if it was the same type as the treat that was drawn the first time. Determine the probability that you will be able to keep a granola bar. Show your work.