Thursday, February 8, 2007

"MATH PROBLEM OF THE DAY"

A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

(1) 1 (2)
(3) (4)

10 comments:

Pinu13 said...

1

Anonymous said...

2

Anonymous said...

1

Unknown said...

it should be 1

Unknown said...

it should be 1

Unknown said...

it should be 1

padmini said...

can u explain me the answer

Anonymous said...

it is 1/256

kreator said...

it is 1/256

Anonymous said...

probabity of hiting the target =1/4.

therefore prob of not hiting the target =(1-1/4)=3/4.

now,4 cases r possible:-
case.1>he shoots the aim in the first attempt.
case.2>he misses the aim in the first attempt but hits it in the second attempt.
case.3>he misses the aim in the first and second attempt but hits the target in the third attempt.
case.4>he misses the aim in the first second & third attempt but hits the target in the fourth one.
hence,
prob of hitting the target=((1/4)+(3/4*1/4)+(3/4*3/4*1/4)+(3/4*3/4*3/4*1/4))
=>175/216.ans