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 :
[tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex], 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 :_
[tex]P(x=5)=^5C_5(0.5)^5(1-0.5)^0=(1)(0.5)^5=0.03125[/tex]
Hence, the probability of getting "tails" on all five coins =0.03125
