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.

Open in App

Solution

Total no. of outcomes $= 150$

(i) $3$ tails

Favourable outcomes $= 24$
$P (E) = \frac{24}{150} = \frac{4}{15}$

(ii) $2$ tails

Favourable outcomes $= 45$
$P (E) = \frac{45}{150} = \frac{3}{10}$

(iii) $1$ tail

Favourable outcomes $= 72$
$P (E) = \frac{72}{150} = \frac{12}{25}$

(iv) $0$ tail

Favourable outcomes $= 150 - (24 + 45 + 72) = 150 - 141 = 9$
$P (E) = \frac{9}{150} = \frac{3}{50}$ .

Suggest Corrections

Similar questions

Q. Two coins are tossed simultaneously for 360 times. The number of times ‘2 Tails’ appeared was three times ‘No Tail’ appeared and the number of times ‘1 Tail’ appeared is double the number of times ‘No Tail’ appeared. Find the probability of getting ‘Two tails’.

Two coins are tossed simultaneously 360 times. The number of times ‘2 Tails’ appeared was three times ‘No Tail’ appeared and the number of times ‘1 tail’ appeared is double the number of times ‘No Tail’ appeared. What is the probability of getting ‘Two tails’?

Q. Two coins are tossed simultaneously 360 times. The number of times ‘2 Tails’ appeared was three times that when ‘No Tail’ appeared and the number of times ‘1 Tail’ came was double the number of times ‘No Tail’ appeared. Find the probability of getting ‘Two Tails’.

Q. Two coins are tossed simultaneously for 360 times. The number of times ‘2 Tails’ appeared was three times the number ‘No Tail’ appeared and the number of times ‘1 tail’ appeared is double the number of times ‘No Tail’ appeared. What is the probability of getting ‘Two tails’?

Q. Three coins are tossed simultaneously. Find the probability of getting exactly 2 tails.

Join BYJU'S Learning Program

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.

Total no. of outcomes=150(i) 3 tailsFavourable outcomes=24P(E)=24150=415(ii) 2 tailsFavourable outcomes=45P(E)=45150=310(iii) 1 tailFavourable outcomes=72P(E)=72150=1225(iv) 0 tailFavourable outcomes=150−(24+45+72)=150−141=9P(E)=9150=350.

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.