Two dice were rolled. Answer the questions:
I) What is the probability that the first die will have a number “5” as the outcome? (10 points)
II) What is the probability that the first die will have “an even number” as the outcome? (10 points)
III) What is the probability that the sum of the two dice equal to 5? (10 points)
Two dice were rolled. Answer the questions: I) What is the probability that the first die...
Two dice were rolled. Answer the questions: I) What is the probability that the first die will have a number that is a multiple of 2 as the outcome? (10 points) a. 1/2 b. 1/5 c. 1/6 d. 1/36 e. None of the above II) What is the probability that the first die will have “a number less than 4” as the outcome? (10 points) a. 1/5 b. 1/3 c. 1/6 d. 1/36 e. None of the above III) What...
1. A single 6-sided die is rolled. What is the probability of each outcome? What is the probability of rolling an even number? What is the probability of rolling an odd number? 2. Two 6-sided dice are rolled. Write the number of possible of rolling dice that add up to (a) 4, (b) 6 and (c) 8.
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a total of 5? B) Suppose I roll two fair six-sided die and I announce that the sum of the two die is 6 or less. What is the probability that I rolled a total of 5?
Two strange dice (Die A and Die B) are rolled and their numbers showing are to be added together. Die A and one side that is a 1, while the other sides are 3’s. Die B has four sides that are 2’s and two sides that are 6’s. Complete this table showing the sample space for this event. + 1 3 3 3 3 3 2 2 2 2 6 6 P(sum of 5) = Using the same strange dice...
Conditional Probability Two fair dice are rolled: (a) Express the sample space S in set builder notation and the probability P "At least one of the dice rolls a four." Write all possible outcomes of A (b) Consider the event A (c) What is the probability that at least one die rolls a four? (d) What is the conditional probability that the first die rolls a four given that the sum of the dice is six? (e) What is the...
If two six sided dice are rolled, what is the probability of rolling a 5 on at least one of the dice? a) I/36 b) 10/36 c) 12/36 d) 11/36
(b) IULUI SAPT Two dice are rolled. Find the probabilities of the following events. 13. The first die is 3 or the sum is 8. 14. The second die is 5 or the sum is 10. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following cards. 15. (a) A 9 or 10 (b) A red card or a 3 (c) A 9 or a black 10 (d) A heart or a...
The table below gives the possible results if two die are rolled. If a blue and a red dice are rolled, what is the probability of rolling a "3" on the blue and a "2" on the red? A. 6/36 B. 2/36 C. 12/36 D. 1/36
If two fair dice are rolled, what is the conditional probability that the first one lands on 6 given that the sum of the dice is i? Compute for all i = 2, 3, . . . , 12.
Problem 1 (10 points). If two fair dice are rolled 10 times, what is the probability of at least one 6 (on either die) in exactly five of these 10 rolls? (Hint: For each roll, two dice are rolled at the same time. It is considered as the success if at least one of two dice is 6 and as the failure if neither of dice is 6.]