Question

2. If a gambler makes repeated wagers, each with a probability of winning equal to 0.40, what is

the formula for the probability that they lose their first 5 wagers?

Answer 1

the formula for the probability that they lose their first 5 wagers is
`0.60^5` and probability is
`0.078` .

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 :

⇒
`1-0.40`

⇒
`0.60`

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

⇒
`0.60(0.60)(0.60)(0.60)(0.60)`

⇒
`0.60^5`

⇒
`0.078`

Therefore , the formula for the probability that they lose their first 5 wagers is
`0.60^5` and probability is
`0.078` .

Answer 2

The probability of losing first 5 wagers is (0.6)⁵

Step-by-step explanation:

The probability of winning = 0.4

The probability of losing = 1 - 0.4

= 0.6

Probability of losing their first 5 wagers = ?

Probability of losing first 5 wagers = (0.6)⁵

Therefore, the probability of losing first 5 wagers is (0.6)⁵