1.

Two dice are thrown. The events A, B, C, D, E and F are described as follows : A = Getting an even number on the first die. B = Getting an odd number on the first die. C = Getting at most 5 as sum of the numbers on the two dice. D = Getting the sum of the numbers on the dice greater than 5 but less than 10. E = Getting at least 10 as the sum of the numbers on the dice. F = Getting an odd number on one of the dice. (i) Describe the following events : A and B, B or C, B and C, A and E, A or F, A and F (ii) State true or false : (a) A and B are mutually exclusive. (b) A and B are mutually exclusive and exhaustive events. (c) A and C are mutually exclusive events. (d) C and D are mutually exclusive and exhaustive events. (e) C, D and E are mutually exclusive and exhaustive events. (f) A' and B' are mutually exclusive events. (g) A, B, F arc mutually exclusive and exhaustive events.

Answer»

Two dice are thrown. The events A, B, C, D, E and F are described as follows :

A = Getting an even number on the first die.

B = Getting an odd number on the first die.

C = Getting at most 5 as sum of the numbers on the two dice.

D = Getting the sum of the numbers on the dice greater than 5 but less than 10.

E = Getting at least 10 as the sum of the numbers on the dice.

F = Getting an odd number on one of the dice.

(i) Describe the following events : A and B, B or C, B and C, A and E, A or F, A and F

(ii) State true or false :

(a) A and B are mutually exclusive.

(b) A and B are mutually exclusive and exhaustive events.

(c) A and C are mutually exclusive events.

(d) C and D are mutually exclusive and exhaustive events.

(e) C, D and E are mutually exclusive and exhaustive events.

(f) A' and B' are mutually exclusive events.

(g) A, B, F arc mutually exclusive and exhaustive events.



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