Question

Three unbiased coins are tossed once. what is the probability of getting 1 all heads? 2 two heads? 3 one head?​

Answer 1

Answer:3/6

2/6

1/6

Step-by-step explanation:

Total results possible=6(3 heads and 3 tails)

1) 3 heads

=3/6

1/2

2 heads

=2/6

=1/3

1 head

=1/3

Answer 2

In tossing three coins, the sample space is given by

S = [HHH, HHT, HTH, THH, HTT, THT, TTH, TTT ].

(1) Let E1 = event of getting all heads. Then,

E1 = [HHH] and, therefore ,

n (E1) = 1.

P (getting all heads ) = P (E1)

= n (E1)/n (S)

= 1/8.

(2) Let E2 = Event of getting 2 heads.

Then,

E2 = [HHT, HTH, THH ].

And,therefore, n (E2) = 3.

P (getting 2 heads )

= P (E2) = n (E2)/n (S)

= 3/8.

(3). Let E3 = event of getting 1 head.

Then,

E3 = [HTT, THT, TTH ].

therefore ,

n (E3) = 3.

P (getting 1 head ) = P (E3).

= n (E3)/n (S) .

= 3/8.

Hope it helps you.