Question

A die is thrown $10$ times, the probability that an odd number will come up at least one time is

• A. $\frac{1}{1024}$
• B. $\frac{1023}{1024}$
• C. $\frac{11}{1024}$
• D. $\frac{1013}{1024}$

Answer 1

Answer: (B)

Given $n =10$
Probability of odd number, $p =1 / 2$
$\therefore q =1 / 2$
Required probability $= P ( X \geq 1)$
$=1- P ( X =0)$
$= 1- \,{}^{10}C_0 (1/2)\,{}^{10-0}(1/2)^0$
$=1-1 / 2^{10}$
$=1-1 / 1024$
$=1023 / 1024$