n whole numbers are randomly chosen and multiplied. Now, match the following lists:
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a
a→r;b→p;c.→q;d→s
b
a→s;b→p;c.→q;d→r
c
a→r;b→q;c.→p;d→s
d
a→p;b→q;c.→r;d→s
answer is A.
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Detailed Solution
a. The required event will occur if last digit in all the chosen numbers is 1, 3, 7, or 9. Therefore, the required probability is (4/10)n.b. The required probability is equal to the probability that the last digit is 2, 4, 6,8 and is given byP (last digit is 1, 2, 3, 4, 6, 7, 8, 9)- P (last digit is 1, 3, 7 ,9) =8n−4n10nc. P(1,3,5,7,9)−P(1,3,7,9)=5n−4n10nd. The required probability isP(0,5)−P(5)=10n−8n−5n−4n10n=10n−8n−5n+4n10n