A new board game uses a twelve-sided die. Suppose the die is rolled once, what is the probability of getting (a) an even number? (b) a number greater than 9? (c) an even number greater than 9?
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- For a normal die, the sum of the dots on opposite faces is 7. Shown in the figure is a pair of trick dice in which the same number of dots appears on opposite faces. Find the probability of rolling a sum of (a) 7 (b) 8Suppose you roll a pair of six-sided dice. (a) What is the probability that the sum of the numbers on your dice is exactly 6? (b) What is the probability that the sum of the numbers on your dice is at most 5? (c) What is the probability that the sum of the numbers on your dice is at least 8?[3] Pick a card, any card. Suppose you pick the 5 of Hearts. If the 5 of Hearts is not returned to the deck, what is the probability of drawing: A. either another 5 or another Heart with the next card? four more Hearts with the next 4 cards drawn? B.
- A die is rolled. Find the probability of the given event.Write your answers as whole numbers or reduced fractions.(a) The number showing is a 5 PP(5) = (b) The number showing is an even number PP(even) = (c) The number showing is greater than 5 PP(greater than 5)The probability of getting a total of 10 in a single throw of two dice is (a) 1/9 (b) 1/12 (c) 1/6 (d) 5/36A six-sided die is rolled. (Enter your probabilities as fractions.) (a) What is the probability that a 5 will result?(b) What is the probability that an 8 will result?(c) What is the probability that an odd number will result?
- A new board game uses a twelve-sided die. Suppose the die is rolled once, what is the probability of getting (a) an even number? (b) a number greater than 9? (c) an even number greater than 9? (d) an even number or a number greater than 9?A quiz has five "Yes-No" questions. A student decided to randomly guess the answer to each question. (a) What is the probability that the students get exactly three questions correct? (b) Each question in the quiz is worth one point and the passing score of the quiz is three. What is the probability that the student passes the quiz?A fair coin is tossed 6 times. (A) What is the probability of tossing a tail on the 6th toss, given that the preceding 5 tosses were heads? (B) What is the probability of getting either 6 heads or 6 tails? (A) What is the probability of tossing a tail on the 6th toss, given that the preceding 5 tosses were heads? (Type an integer or a fraction. Simplify your answer.) (B) What is the probability of getting either 6 heads or 6 tails? (Type an integer or a fraction. Simplify your answer.)