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प्रश्न
Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).
Two digit numbers are formed using digits 0, 1, 2, 3, 4, 5 without repetition of the digits.
Condition for event A : The number formed is even
Condition for event B : The number formed is divisible by 3.
Condition for event C : The number formed is greater than 50.
उत्तर
Sample Space (S) = {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}
∴ n(S) = 25
A = {10, 12, 14, 20, 24, 30, 32, 34, 40, 42, 50, 52, 54}
∴ n(A) = 13
B = {12, 15, 21, 24, 30, 42, 45, 51, 54}
∴ n(B) = 9
C = {51, 52, 53, 54}
∴ n(C) = 4
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संबंधित प्रश्न
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Activity II : Decide the sample space yourself and fill in the following boxes.
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Activity:
S = {__________}
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ii. Event B: to get no head.
∴ B = `{square}`.
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Activity:
Two coins are tossed simultaneously.
∴ Sample space is
S = `{square, HT, TH, square}`
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∴ A = `{square, HT, TH}`
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∴ B = `{square}`
