Question

If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 4 heads?

Answer 1

Probability of getting exactly 1 heads is 0.094.

As a binomial model, there are only two outcomes, the heads & tails

For a coin, the probability of getting heads or tails = 1 /2 = 0.5

Let 'X' be the no of heads obtained

Let :p" be the probability of getting heads

X~Bin (n=6, p = 0.5)

P (X=x) =  

P (X=x) =  

P (X=x) =  

Note that we need to find probability of getting exactly 1 heads. So we will input the figures

P (X=1) =  

P (X=1) =  

P (X=1) =  

P (X=1) = 0.09375

P (X=1) = 0.094

Therefore, the probability of getting exactly 1 heads is 0.094.