12. Given the following two events, calculate P(F|E): (Leave answer as a fraction. Two dice are...
4. Given the following two events, compute P(FE) (Leave answer as a fraction.) E-an odd total shows on the dice F-the total is seven 5. Given the following data set representing the number of pets people own in a small rural community,
6. Two dice are rolled, and the events F and T are as follows: F={The sum of the dice is four} and T={At least one die shows a three} Find P(F∪T). 7. The probability that this weekend will be cold is .6, the probability that it will be rainy is .7, and probability that it will be both cold and rainy is .5. What is the probability that it will be neither cold nor rainy? 8. Suppose a jar contains...
We toss two dice. Consider the events E: The sum of the outcomes is even. F: At least one outcome is 6. Calculate the conditional probabilities P(E I F) and P(F I E).
Two six-sided dice are rolled. Determine the probability of the following events: a) The second dice shows the number two. b) The sum of dice is nine or more. c) None of the dice show a one. I would like a full solution for all of these three questions, if possible please.
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...
You roll two six-sided fair dice. a. Let A be the event that either a 4 or 5 is rolled first followed by an even number. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 5. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? d. Are A and B independent events?
You roll two fair dice. Let E be the event that an even total shows on the dice. Let F be the event that a three shows on at least one of the dice. Find P(F) and P(F | E).A. P(F)=1/3, P(F | E)=5/18B. P(F)=11/36, P(F | E)=5/18C. P(F)=1/3, P(F | E)=1/13D. P(F)=11/36, P(F | E)=7/18
Problem 1 Suppose you have two dice to toss (both of them are fair). a) What is the probability of that the total of the two dice will add up to 7 or 11? b) What is the probability of that the total of the two dice will add up to a number other that 2 and 12? Are the events E1 first die shows a 3 E2 total of two die is 6 Independent events? c) d) Given the...
2) Two fair dice are rolled. Find the following probabilities: (10pts) a) P(the sum of the dice is not eight) b) P(doubles are rolled) c) P(doubles are rolled given that the sum of the dice is eight)
Two six-sided dice will be rolled once and the numbers (number of dots) on each dice is to be recorded. Define events Еґ the sum of the two dice is 1,1-2,3, , 12. a. List all the outcomes in the Sample Space. Calculate the probability of each event, El, E2, , E12. c. Let A be the event "the sum of the two dice is greater than 6" Calculate P(E10|A) and P(A|E10)