Probability

Probability Question and Answer 2023. Of the 30 students in the sixth-period math class, 8 are also in the same fourth-period science class. This can be used to determine the probability that if three students are chosen at random from the math class to do a group project, the first student chosen to be in the group is in the fourth-period science class but the other two are not. Correct Answer: [8/30 22/29 21/28] A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble? Correct Answer: 1/12 The table below shows all of the possible outcomes for rolling two six-sided number cubes. Correct Answer: 36 To win the game, Elena has to roll an even number first and a number less than 3 seconds. Her probability of winning is . Correct Answer: rolling a sum of 6 rolling a sum of 2 or a sum of 9 rolling a sum that is greater than 2 but less than 5 Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not? Correct Answer: not 1/30 Jason rolls a fair number cube labeled 1 through 6, and then he flips a coin. What is the probability that he rolls a 3 and flips a head? Correct Answer: 1/12 The tree diagram below shows all of the outcomes for flipping 3 coins. Which outcome is represented by x? Correct Answer: heads on the first coin, heads on the second coin, and tails on the third coin A package contains 4 red, 2 green, 8 purple, and 6 blue jelly beans. What is the probability of choosing a purple jelly bean, eating it, and then choosing a blue jelly bean? Correct Answer: 12/95 Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki's marble? Correct Answer: 17 Raj has a full deck of 52 cards. Sydney chooses the queen of clubs and holds onto it. Then Yolanda chooses a card. What is the total number of possible outcomes for Yolanda's card? Correct Answer: 13 Josh used a standard deck of 52 cards to experiment. Half of the cards in the deck were red. The other half were black. Josh predicted that he would choose a red card in 4 out of 8 trials. When he experimented, he chose a red card 6 out of 8 times. Which explains the most likely reason for the discrepancy between Josh's predicted and actual results? Correct Answer: He used too few trials for the sample space. A set of cards contains cards numbered 1 - 8. Mrs. Jacob's class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile? Correct Answer: 125 The theoretical probability of an event occurring is . Which best describes the experimental probability associated with this event? Correct Answer: Out of every 5 trials, the desired outcome will occur approximately 2 times.