From a box containing 10 cards numbered 1 to 10, four cards... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is

A

$\frac{11}{21}$

B

$\frac{5}{21}$

C

$\frac{6}{21}$

D

$\frac{1}{21}$

Answer

$\frac{11}{21}$

Explanation

Solution

$n(S) = ^{10}C_4;$ n(E) = 4 odd or 4 even or 2 Odd and 2 even; $P(E) = \frac{11}{21}$