the formula for the probability that they lose their first 5 wagers is
and probability is
.
Step-by-step explanation:
Here we have , If a gambler makes repeated wagers, each with a probability of winning equal to 0.40 , We need to find what is the formula for the probability that they lose their first 5 wagers . Let's find out:
According to question , Probability of winning is 0.40 , so for losing :
⇒

⇒

Now , Probability that they lose their first 5 wagers is given by :
⇒

⇒

⇒

Therefore , the formula for the probability that they lose their first 5 wagers is
and probability is
.