26. Suppose two dice are rolled. What is the probability that the lowest number rolled is...
Suppose two dice are rolled. Find the probabilities of the following events. a) the maximum of the two numbers rolled is less than or equal to 2; b) the maximum of the two numbers rolled is less than or equal to 3; c) the maximum of the two numbers rolled is exactly equal to 3. d) Repeatb)andc)forxinsteadcf3,foreachxfrom1to6. e) Denote by P(x) the probability that the maximum number is exactly x. What should P(I) +P(2) +P(3) +P(4) +P(5) +P(6) equal? Check...
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...
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?
Suppose that two fair dice are rolled, What is the probability that the number shown on one will be twice the number shown on the other (hint: make a table and count). 7. Doomsday Airlines has an old propeller plane that will fly if at least one engine is working. Suppose that the probability of engine failure is 0.1 for the port engine and 0.15 for the starboard engine. Of course the engines function or fail completely independently of each...
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) a. 1/5 b. 1/2 c. 1/36 d. 1/6 e. None of the above II) What is the probability that the first die will have “an even number” as the outcome? (10 points) a. 1/5 b. 1/2 c. 1/36 d. 1/6 e. None of the above III) What is the probability that the sum of...
4. Two fair dice are rolled. Compute the probability that the number on the first is smaller than the number on the second
Two dice are rolled. Determine the number of elements in the sample space for rolling two dice. n(S) = Let E be the event that doubles are rolled (both dice show the same number of pips). Determine the number of elements in event E. n(E) = Find the probability of event E. (Enter the probability as a fraction.)
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
both 7 and 8
7. Suppose two dice are rolled. Find the probabilities of the following events a) the maximum of the two numbers rolled is less than or equal to 2; b) the maximum of the two numbers rolled is less than or equal to 3; c) the maximum of the two numbers rolled is exactly equal to 3 d) Repeat b) and c) for r instead of 3, for each z from 1 to 6. e) Denote by...
If two fair dice are rolled, what is the probability that a total of four shows?A. 1/18B. 1/9C. 5/36D. 1/12