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Solution:
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Since two digit numbers are to be
formed from the digits 0, 1, 2, 3, 4, 5 without repeating the digits.
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∴ Sample Space = {10, 12,
13, 14, 15, 20, 21, 23, 24, 25, 30, 31, 32, 34, 35, 40, 41, 42, 43, 45, 50,
51, 52, 53, 54)
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∴ n(S) = 25
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Let P = Event that the
number formed is even number.
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∴ A = {10, 12, 14, 20, 24,
30, 32, 34, 40, 42, 50, 52, 54}
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∴ n(P) = 13
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Let Q = Event that the
number so formed is divisible by 3
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∴ Q = {12, 15, 21, 30, 42,
45, 51, 54}
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∴ n(Q) = 8
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In the following experiment write the sample space S, number of sample points n(S), events P, Q using set and n(P), n(Q). Form two digit number using the digits, 0, 1, 2, 3, 4, 5 without repeating the digits. P is the event that the number so formed is even. Q is the event that the number so formed is divisible by 3.
