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 probability of losing first 5 wagers is (0.6)⁵

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

Answer 2

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  $0.078$ .