If an unbiased die, marked with (-2,-1,0,1,2,3) on its faces... | Mathematics | SolveeIt | Solveeit

Today, October 3

Question

If an unbiased die, marked with $-2,-1,0,1,2,3$ on its faces, is thrown five times, then the probability that the product of the outcomes is positive, is:

A

$\frac{440}{2592}$

B

$\frac{881}{2592}$

C

$\frac{27}{288}$

D

$\frac{521}{2592}$

Answer

$\frac{521}{2592}$

Explanation

Solution

Either all outcomes are positive or any two are negative.
Now, p=P( positive )=63=21
q=p( negative )=62=31
Required probability
=5C5(21)5+5C2(31)2(21)3+5C4(31)4(21)1
=2592521