# Three coins are tossed simultaneously . What is the probability of getting :i) two heads ?ii) at most one head ?iii) atleast two heads ?iv ) at most two heads ?please solve the query soon . Thank you .

Let H : Head

and, T : Tail

then the outcomes when 3 coins are tossed simultaneously are

Thus total outcomes are 8.

(1) two heads means exactly 2 heads

Favourable cases = (HHT, HTH, THH)

Probability =

(2) at most one head means one head or no head

Favourable cases = (HTT, THT, TTH, TTT)

Probability =

(3) atleast two heads means two or three heads

Favourable cases = (HHH, HHT, HTH, THH)

Probability =

(4) atmost two heads means 0, 1 or 2 heads

Favourable cases = (HHT, HTH, HTT, THH, THT, TTH, TTT)

Probability =

• 38

i) 3/8

ii)1/2

iii)3/8

iv) 7/8

• -6

ttt, hhh, tth, thh, tht, hht, htt, hth

1.12

2.12

3.12

4.78

• -5

total no. of outcomes - 8

HHH

HHT

HTT

HTH

THH

TTT

THT

TTH

i) 1/8

ii) 3/8

iii) 1/2

iv) 3/8

• -3

its

1/2

1/2

1/2

7/8

• -5
1.  3/8
2. 7/8
3. 4/8= 1/2
4. 3/8 hope this helped you. thank you
• 1

Sample space = 8{HHH,HHT,HTH,HTT,THH,THT,TTH and TTT}

i) 3/8

ii)4/8 i.e. 1/2

iii)4/8 i.e. 1/2

iv)7/8

• 0
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