Let S = 1, 2, ...... , 20. A subset B of S is said to be "nice", if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is "nice" is :

Question

Let S = 1, 2, ...... , 20. A subset B of S is said to be "nice", if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is "nice" is : (A) (6/220) (B) (5/220) (C) (4/220) (D) (7/220)

Tardigrade Admin · Accepted Answer

7, 1,6 2,5 3,4 1,2,4 P = (5/220)

Q. Let $S =$ {1, 2, ...... , 20}. A subset $B$ of $S$ is said to be "nice", if the sum of the elements of $B$ is $203$ . Then the probability that a randomly chosen subset of $S$ is "nice" is :

$\frac{6}{2 ^{20}}$

$\frac{5}{2 ^{20}}$

$\frac{4}{2 ^{20}}$

$\frac{7}{2 ^{20}}$

7,
1,6
2,5
3,4
1,2,4
$P = \frac{5}{2 ^{20}}$

Q. Let S={1, 2, ...... , 20}. A subset B of S is said to be "nice", if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is "nice" is :

2206​

2205​

2204​

2207​