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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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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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