Multiple choice section (3 marks each) 5. Two dice are rolled and the numbers are added...
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)
1). Two dice are rolled, and the results are added. Assuming that this number is greater than or equal to 8, what is the probability that one of the dice rolled a 6? 2). In the game “raven’s beak,” a player rolls 6 dice, and wins if at least three of the dice roll the same number. What is the probability of winning?
Two dice are rolled repeatedly until the sum of the two numbers rolled is 10 or more. a) What is the probability that exactly 5 rolls are needed? (Count each time you roll the dice as one roll). b) What is the probability that more than 5 rolls are needed? c) Find the expected number of rolls.
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...
If a blue and a red dice are rolled, what is the probability of rolling two identical numbers? A. 18/36 B. 12/36 C. 6/36 D.36/36
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?
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...
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
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...
Two dice are rolled. The probability that one or both numbers on the faces will be 4 is 36\11 3\1 13\4 6\1