Question

26. A balance die is thrown twice. Find the probability of the following events :
(i) getting different number on die.
(ii) The sum of the integers on both dice is 10.
(iii) The sum of the integers on both dice is 15.​

Answer 1

Step-by-step explanation:

When two dice are rolled, we have n(S) = (6 × 6) = 36.

Now, A = {(1, 4), (2, 3), (4, 1), (3, 2)}, and

B = {(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1,3), (2, 3), (4, 3), (5, 3), (6, 3)}

(i) A ∩ B = {(2, 3), (3, 2)} ≠ ∅.

Hence, A and B are not mutually exclusive.

(ii) Also, A ∪ B ≠ S.

Therefore, A and B are not exhaustive events.

Answer 2

Answer:

getting different number on die

Step-by-step explanation:

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