Question

In a game, the entry fee is ₹ 150. The game consists of tossing a coin 3 times. Dhana bought a ticket for entry. If one or two heads show, she gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise, she will lose. Find the probability that she gets double entry fee 

Answer 1

Sample space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

n(S) = 8

Let A be the event of getting double entry fee ...(only getting 3 heads)

n(A) = 1

P(A) = `("n"("A"))/("n"("S"))`

= `1/8`