Answer :

(i) As 10 coins are tossed simultaneously the total number of outcomes are =1024.

the favourable outcomes of getting exactly 3 heads will be

^{10}C_{3} = 120

Thus, the probability

Hence, the probability is .

(ii) As 10 coins are tossed simultaneously the total number of outcomes are =1024.

the favourable outcomes of getting not more than 4 heads will be

^{10}C_{0} + ^{10}C_{1} + ^{10}C_{2} + ^{10}C_{3} + ^{10}C_{4} = 386

Thus, the probability

⇒

Hence, the probability is .

(iii) As 10 coins are tossed simultaneously the total number of outcomes are =1024.

the favourable outcomes of getting at least 4 heads will be

^{10}C_{4} + ^{10}C_{5} + ^{10}C_{6} + ^{10}C_{7} + ^{10}C_{8} + ^{10}C_{9} + ^{10}C_{10} = 848

Thus, the probability

⇒

Hence, the probability is .

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