the probability that a randomly chosen three digit number has exactly three factors is P.Then the value of 45P is
Answers
Answered by
13
Value of P : 7/900
Steps:
1) For a Number N, to have exactly three factors then it must be a square of a prime number.
Like, 11: 121
13: 169
17 : 289
19 : 361
23: 529
29:841
31:961
2)There are 7 3 digit numbers which has exactly three factors.
3) Sample Space, n(S) = 900
n(E) = 7
P(E) = n(E)/n(S)
= 7/900
Steps:
1) For a Number N, to have exactly three factors then it must be a square of a prime number.
Like, 11: 121
13: 169
17 : 289
19 : 361
23: 529
29:841
31:961
2)There are 7 3 digit numbers which has exactly three factors.
3) Sample Space, n(S) = 900
n(E) = 7
P(E) = n(E)/n(S)
= 7/900
Similar questions