Question

A policeman fires 4 bullets at a dacoit.the probability that he will be killed by 1 bullet is 0.6.find the probability that the dacoit is still alive?

Answer 1

Answer:

The probability that the dacoit is still alive is 0.0041.

Step-by-step explanation:

Given : A policeman fires 4 bullets at a dacoit. The probability that he will be killed by 1 bullet is 0.6.

To find : The probability that the dacoit is still alive?

Solution :

According to question,

We apply binomial probability,

$P(r)=^n C_r(p)^r (q)^{n-r}$

Where, n=6 , p=0.6 , q=1-p=1-0.6=0.4 , r=0

Applying in probability,

$P(0)=^6 C_0(0.6)^0 (0.4)^{6-0}$

$P(0)=1\times 1\times (0.4)^6$

$P(0)=0.0041$

Therefore, The probability that the dacoit is still alive is 0.0041.

Answer 2

Answer:

Step-by-step explanation:

Let P(A) = probability that the dacit is killed by one bullet =0.6

P(A')=1-P(A)=0.4

P(dacoit still alive)= P(A'A'A'A')=(0.4)^4

= 0.0256=(16/625)