How many ways can a person toss a coin 10 times so that the

How many ways can a person toss a coin 10 times so that the number of tails is between 4 and 7 inclusive?
How many ways can a person toss a coin 10 times so that the number of tails is between 4 and 7 inclusive?

Solution

No of tosses = 10 times

Let X be the no of tails then x has p = 0.5

no of tails =4,5,6,7

NO of ways for 4 tails = 10C4

no of ways for 5 tails = 10C5

....

Hence no of ways for 4 to 7 tails = 10C4+10C5+10C6+10C7

= 210+252+210+120+45+10+1

= 848

How many ways can a person toss a coin 10 times so that the number of tails is between 4 and 7 inclusive? How many ways can a person toss a coin 10 times so tha

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