Two dice are thrown simultaneously. What is the probability that
(i) 5 will not come up on either of them?
(ii) 5 will come up on at least one?
(iii) 5 will come at both dice?

Solution

(i) Let A be the favourable outcomes that 5 will not come up on either of them Then

i.e. n(A) = 25
Therefore, =

25 over 36

(ii) Let B be the favourable outcomes that 5 will come up on at least one dice. Then
B = {(1,5), (2, 5), (3, 5), (4, 5), (5,1),
(5,2), (5, 3) (5, 4), (5,5), (5, 6), (6,5)}
i.e., n(B) = 11
Therefore, P(B) = $11 over 36$

(iii) Let C be the event that 5 will come up on both the dice.
C = {5, 5}, i.e., n(C) = l
Therefore, P(C)= $1 over 30$

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Real Numbers

Two dice are thrown simultaneously. What is the probability that
(i) 5 will not come up on either of them?
(ii) 5 will come up on at least one?
(iii) 5 will come at both dice?

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For Daily Free Study Material Join wiredfaculty

Real Numbers

Two dice are thrown simultaneously. What is the probability that(i) 5 will not come up on either of them?(ii) 5 will come up on at least one?(iii) 5 will come at both dice?

Some More Questions From Real Numbers Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Two dice are thrown simultaneously. What is the probability that
(i) 5 will not come up on either of them?
(ii) 5 will come up on at least one?
(iii) 5 will come at both dice?