Q14: Three unbiased coins are tossed. What is the probability of getti

1.	Q14: Three unbiased coins are tossed. What is the probability of getting 0) two heads (i) at least twoheads (ii) at most two heads (iv) one head or two heads?
Answer» Let H be the heads and T be the tails. Sample Space(S)={HHH,HTH,THH,TTH,HHT,HTT,THT,TTT} n(S)=8 Let A be the set of getting at most 2 tails.(two or less than two tails) Therefore, A={HHH,HTH,THH,TTH,HHT,HTT,THT} n(A)=7 Since, P(A)=n(A)/n(S) P(A)=7/8 Therefore, the probability of getting at most 2 tails is7/8.

Q14: Three unbiased coins are tossed. What is the probability of getting 0) two heads (i) at least twoheads (ii) at most two heads (iv) one head or two heads?

Answer»

Let H be the heads and T be the tails.

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

n(S)=8

Let A be the set of getting at most 2 tails.(two or less than two tails)

Therefore,

A={HHH,HTH,THH,TTH,HHT,HTT,THT}

n(A)=7

Since,

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

P(A)=7/8

Therefore, the probability of getting at most 2 tails is7/8.