If you flip the five coins, and the probability of one coin being "tails" is 0.50, what is the probability of getting "tails" on

Question

Butoxors [25]

2 years ago

14

If you flip the five coins, and the probability of one coin being "tails" is 0.50, what is the probability of getting "tails" on

all five coins?

Mathematics

1 answer:

jenyasd209 [6] · Answer 1 · 2022-01-21T04:03:41+03:00

Answer: 0.03125

Step-by-step explanation:

We know that the probability of getting a tail , we toss a fair coin = 0.5

Given : Total number of trials = 5

Using binomial probability formula :

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trails, n is total number of trials and p is the probability of getting success in each trial.

The probability of getting "tails" on all five coins :_

$P(x=5)=^5C_5(0.5)^5(1-0.5)^0=(1)(0.5)^5=0.03125$

Hence, the probability of getting "tails" on all five coins =0.03125