A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?
(i) that the sum of the two numbers that turn up is 8?
(ii) of obtaining a total of 6?
(iii) of obtaining a total of 10?
(iv) of obtaining the same number on both dice?
(v) of obtaining a total more than 9?
(vi) that the sum of the two numbers appearing on the top of the dice is 13?
(vii) that the sum of the numbers appearing on the top of the dice is less that or equal to 12?
(viii) that the product of numbers appearing on the top of the two dice is 2.
(ix) that the difference of the numbers appearing on the top of the two dice is 2.
Answers
Probability
Step-by-step explanation:
Two dice are rolled simultaneously.
Total outcomes = 36.
Please refer picture for the possible outcomes.
Probability = Number of favorable outcomes / Total outcomes
(i) sum of the two numbers that turn up is 8
Favorable outcomes = (2,6), (6,2), (3,5), (5,3), (4,4)
Probability = 5/36
(ii) of obtaining a total of 6.
Favorable outcomes = (2,4), (4,2), (3,3), (5,1), (1,5)
Probability = 5/36
(iii) of obtaining a total of 10?
Favorable outcomes = (6,4), (4,6), (5,5)
Probability = 3/36 = 1/12
(iv) of obtaining the same number on both dice?
Favorable outcomes = (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)
Probability = 6/36 = 1/6
(v) of obtaining a total more than 9?
Favorable outcomes = (5,5), (5,6), (6,5), (6,6)
Probability = 4/36 = 1/9
Solve the rest in the same way.
Answer:
THE ANSWER TO THIS QUESTION IS......
Step-by-step explanation:
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