In tossing 3 coins, the sample space is given by
S={HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.
`therefore" "n(S)=8.`
P(getting all heads or all this) `=(2)/(8)=(1)/(4).`
P(getting on head or heads) `=(6)/(8)=(3)/(4).`
Let X = number of rupees the person gets.
Then, possible values of X are 5 and -3.
`P(X=5)=(1)/(4) and P(X=-3)=(3)/(4).`
Thus, we have
`therefore" the required expectations = mean,"mu=Sigmax_(i)p_(i)`
`=(5xx(1)/(4))+(-3)xx(3)/(4)=-1.`
i.e., he loses ₹ 1 per tosis.
