Question

# Three coins are tossed simultaneously $$150$$ times and it is found that $$3$$ tails appeared $$24$$ times,  $$2$$ tails appeared $$45$$ times , $$1$$ tail appeared $$72$$ times. If three coins are tossed simultaneously at random. Find the probability of getting $$3$$ tails,$$2$$ tails , $$1$$ tail and $$0$$ tail.

Solution

## Total no. of outcomes$$=150$$(i) $$3$$ tailsFavourable outcomes$$=24$$$$P(E)=\dfrac{24}{150}=\dfrac{4}{15}$$(ii) $$2$$ tailsFavourable outcomes$$=45$$$$P(E)=\dfrac{45}{150}=\dfrac{3}{10}$$(iii) $$1$$ tailFavourable outcomes$$=72$$$$P(E)=\dfrac{72}{150}=\dfrac{12}{25}$$(iv) $$0$$ tailFavourable outcomes$$=150-(24+45+72)=150-141=9$$$$P(E)=\dfrac 9{150}=\dfrac 3 {50}$$.Mathematics

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