Question

There is a 9% chance that a booked gig will get cancelled. If you have 4 gigs in a row, what is the probability none of them will get cancelled!

Answer 1

Answer: The answer is 68.574961%.

Step-by-step explanation:  Given in the question that there is a 9% chance that a booked gig will get cancelled. We have 4 gigs in a row and we need to find the probability that none of them will get cancelled.

The probability of a gig not get cancelled will be

$p_g=1-0.09=0.91.$

Since the chances of being cancelled for the 4 gigs are independent events, so the probability that none of the 4 gigs are cancelled is

$P=0.91\times 0.91\times 0.91\times 0.91=0.68574961.$

Thus, the required probability is 68.574961%.