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8 coins are tossed. Whats is the probability that one and only one turns up head ?

A.

1/256

B.

1/32

C.

1/64

D.

1/128

See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

The coin that turns up head can be any of the eight.

Required probability = 8  * (1/28)

                             = 1/32

 

ush 8/4/2014 12:02:26 PM

why there is 1/2 raise to power 8

Anand 8/15/2014 10:12:08 AM

it should be 8*(1/2^8)

                 =1/128

Manish chaturvedi 10/10/2014 10:58:42 AM

8 coins so total head(1/2)^8=1/256

only one head coming means..(T,T,T,T,T,T,T,H), (T,T,T,T,T,T,H,T) etc 8 possibility

so probability is 8*(1/256)=1/32

aditya 10/16/2014 10:16:21 PM

it should be like 1/16 is the probability of getting a head or tail out of 16 faces of 8 coins and 1/2 is the probability of getting head. therefore 1/16*1/2=1/32 is the probability required

Shreya 11/28/2014 12:43:36 PM

Aditya, thanks for the explanation.

 

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