Question

four coins are tossed once.find the probability of exactly 2 tail

Answer 1

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PROBABILITY :

❖ Four coins are tossed once , the probability of finding exactly 2 tails are :

❣ we have ,

2 x 2 x 2 x 2

2 x 2 x 2 x 2

results in total. That is

2( power 4 ) = 16

For the favourable case we need to count the ways to get

2

2

heads and

2

2

tails. The count of permutations of two pairs of symbols is:

4!

2!2!

=6

4!2!2!=6

❖ CONCLUSION :

This is easily confirmed by just counting :

HHTT,HTHT,HTTH,THHT,THTH,

TTHH

= 6

{HHTT,HTHT,HTTH,THHT,THTH,TTHH}=6

Thus the probability is:

6 , 16

6 , 16

or

0.375

Therefore , The probability of exactly 2 tails is : 0.375.

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