Question

A symmetrical die is rolled $6$ times. If getting an odd number is a success, the probability of atmost $5$ successes is

• A. $\frac{60}{64}$
• B. $\frac{63}{64}$
• C. $\frac{120}{164}$
• D. $\frac{10}{14}$

Answer 1

Answer: (B)

$\frac{63}{64}$

Probability of getting atmost $5$ success in $6$ throw $=1-$(probability of $6$ success in $6$ throw)

$=1-[\frac{1}{2}{]}^6$

$=1-\left[\frac{1}{64}\right]$

$=\frac{63}{64}$