Question

Two unbiased coins are tossed once. What is the probability of getting- (i) exactly one head (ii) No head​

Answer 1

Answer:

Step-by-step explanation:

Here S=(HH,HT,TH,TT)

(i) Exactly one head

Let A=event of getting one head (HT,TT)

P(A)=  

N(S)

N(A)

​  

=  

4

2

​  

=  

2

1

​  

 

(ii) Exactly one tail

Let A=event of getting one head tail (HT,TH)

P(A)=  

N(S)

N(A)

​  

=  

4

2

​  

=  

2

1

​  

 

(iii) Two tails

Let A=event of getting two tail (,TT)

P(A)=  

N(S)

N(A)

​  

=  

4

1

​  

 

(iv) Atleast one tail

LET A=event of getting atleast one tail (HT,TH,TT)

P(A)=  

N(S)

N(A)

​  

=  

4

3

​  

 

(v) Atmost one tail

Let event of getting  Atmost one tail (HT,TH,TT)

P(A)=  

N(S)

N(A)

​  

=  

4

3

​  

 

(vi) No Tail

Let event of getting No Tail (HH)

P(A)=  

N(S)

N(A)

​  

=  

4

1

​  

 

(b)Gets at least one head

Here S=(HH,HT,TH,TT)

Let event of at least one head(HT,TH,TT)

P(A)=  

N(S)

N(A)

​  

=  

4

3

​  

Answer 2

option 1. is correct.

I hope its help you.