Question

An arcade game is such that the probability of any person winning is always $0.3$. The number of people play the game to ensure that the probability that atleast one person wins is greater than or equal to $0.96$ is

• A. $8$
• B. $9$
• C. $10$
• D. $12$

Answer 1

The correct option is B $9$

Probability of at least one person wins $>0.96$

$1-P\left(nonewins\right)>0.96$

$P\left(nonewins\right)<0.04{0.7}^n<0.04$

Hence, $n=9$