Q10.
A three digit number is to be formed using the digits 3, 4, 7, 8 and 2 without repetition. The probability that it is an odd
number is
(A ) 2/5
(B) 1/5
(C) 4/5
(D) 3/5
Answers
Answer:
(A)2/5 is the correct answer...
hope it helps,,,,
The probability that it is an odd number is .
Explanation:
Total digits ( 3, 4, 7, 8 and 2) :5
If repetition is not allowed , then we use permutations.
Permutation of r things selecting from n things =
If we make a three digit number is to be formed using the digits 3, 4, 7, 8 and 2 without repetition , then the total different numbers formed =
To make odd number , the last digit has 2 choice (3,7).
Fix 3 on last digit , the number of ways to make odd numbers = 3 x4x1 =12
Fix 7 on last digit , the number of ways to make odd numbers = 3 x4x1 =12
Total odd numbers can be formed = 12+12=24
Now , the probability that it is an odd number would be
Hence, the probability that it is an odd number is .
# Learn more :
Two digit number are to made using the digits 3,5,6 and 8, without repetition of digits . Find the probability of the following events( 1) the number is odd. (2) the number is divisible by 9.
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