One number is selected at random from the four digit numbers that can be formed from the digits 1, 2, 3, 4, 5, 6, 7. Then the probability that it is an odd number is
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a
47
b
25
c
716
d
116
answer is A.
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Detailed Solution
The number of four digit numbers that can be formed from the digits 1,2,3,4,5,6,7 is 74 n(S)=74 Suppose that E be the event of getting odd number. To get the number of odd numbers, place any of the odd number in the unit place, this can be done in 4 waysthe remaining three blanks with seven digits can be filled in 74 ways. n(E)=73×4Therefore, the required probability is P(E) = 73×474 = 47