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 just gets her entry fee

Answer 1

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

n(S) = 8

Let B be the event of getting her entry fee ...(one or two heads to show)

n(B) = Probability of one head + Probability of 2 head

= `3/8 + 3/8`

= `6/8`

= `3/4`