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 (i) gets double entry fee (in) just gets
her entry fee (iii) loses the entry fee.​

Answer 1

Total possibilities=hhh,hht,hth,thh,htt,tht,tth,ttt total 8

now

i, chances pf losing entry-ttt

So pro.=1/8

ii, chances of double-hhh

So prob.=1/8

iii, chances of free pass...hht,thh,hth,tth,tht,htt

So prob...=6/8