A pair of dice is thrown once, and the sum of the numbers on the face of the dice is recorded. (Let X = sum of the two numbers). Below is a table with all the possible outcomes: 1;1 1;2 1;3 1;4 1;5 1;6 2;1 2;2 2;3 2;4 2;5 2;6 3;1 3;2 3;3 3;4 3;5 3;6 4;1 4;2 4;3 4;4 4;5 4;6 5;1 5;2 5;3 5;4 5;5 5;6 6;1 6;2 6;3 6;4 6;5 6;6 Calculate P (X =13) a. 35/36 b. 32/36 c. 4/36 d. 3/36 e. None of the above calculate P(X= 13), which of the above is correct?
Question
A pair of dice is thrown once, and the sum of the numbers on the face of the dice is recorded. (Let X = sum of the two numbers). Below is a table with all the possible outcomes:
1;1 1;2 1;3 1;4 1;5 1;6 2;1 2;2 2;3 2;4 2;5 2;6 3;1 3;2 3;3 3;4 3;5 3;6 4;1 4;2 4;3 4;4 4;5 4;6 5;1 5;2 5;3 5;4 5;5 5;6 6;1 6;2 6;3 6;4 6;5 6;6
Calculate P (X =13)
a. 35/36 b. 32/36 c. 4/36 d. 3/36 e. None of the above calculate P(X= 13), which of the above is correct?
Solution
The answer is e. None of the above. The sum of numbers on two dice can never be 13. The maximum sum is 12 (6 on the first die and 6 on the second die). Therefore, the probability P(X=13) is 0.
Similar Questions
ind the probability of getting a sum of 6 on two throws of a dice.
A pair of dice is tossed. Find the probability that one of the die is 2 if the sum is 6.
Roll two fair dice separately. Each dice has six faces. Let B be the event that the sum of the two rolls is at most seven. P(B) =
In rolling a pair of dice once, find the probability that the sum of the results will be:a. 5b. 9c. At least 10d. 8
Two dice are rolled and the sum is recorded.(a) List all possible outcomes (i.e. the sample space).(b) Calculate the probability of rolling:(i) A sum of 5(ii) A sum of 4 or less(iii) A sum of at most 11(iv) A sum that is a multiple of 3 or a multiple of 4
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.