Question

Three coins are tossed simultaneously 350 times. The distribution of various outcomes is listed below :Outcome3 Tails2 Tails1 TailNo TailsNo. Of times65 95 110 80 respevtove;y Compute the probability of getting:(i)At least 1tail(ii) Exactly 3 heads

Answer 1

(i)
`(27)/(35)`

(ii)
`(8)/(35)`

Explanation:

Probability refers to chances of occurrence of any event.

Probability is calculated by dividing number of favorable outcomes by total number of possible outcomes.

Total number possible of outcomes = 350

(i)

Number of favorable outcomes =
`65+95+110=270`

Probability
`=(270)/(350)=(27)/(35)`

(ii)

Exactly 3 heads is equivalent to no tails.

Number of favorable outcomes =
`80`

Probability
`=(80)/(350)=(8)/(35)`