Toss a coin 5 times. What is the probability of getting exactly 2 tails?

Solution:

Given a coin is tossed 5 times

Assuming a "fair" coin, there are 2⁵ = 32 different arrangements of heads and tails after 5 flips.

Let P be the probability of getting exactly 2 tails

We can express them as combination principle ⁿC_r = n! / (n - r)! r!

Here, r = 2

so, there are ⁵C₂ = 5! / (5 - 2)! 2!

⁵C₂ = 5! /2!3! = 10 ways to get exactly 2 tails.

P(exactly 2 tails) = 10/32 = 5/16

Therefore, the probability of getting exactly 2 tails is 5/16.

Toss a coin 5 times. What is the probability of getting exactly 2 tails?

Summary:

Toss a coin 5 times, then the probability of getting exactly 2 tails is 5/16.