Q5 of 24 Page 97

The record of a weather station shows that out of the past 300 consecutive days, its weather was forecasted correctly 195 times. What is the probability that on a given day selected at random, (i) it was correct (ii) it was not correct.

Data

Total number days – 300


Number of days when prediction was correct – 195


Probability based on above data that the prediction will be correct.


=


=


Now there are only two possible outcomes either the prediction will be correct, or it will be incorrect


∴ Probability that the prediction will be incorrect


= (∵ the total probability of all events is always 1)


=


More from this chapter

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3

Define empirical probability.

 4

During the last 20 basketball games, Sangeeth has made 65 and missed 35 free throws. What is the empirical probability if a ball was selected at random that Sangeeth make a foul shot?

 6

Gowri asked 25 people if they liked the taste of a new health drink. The responses are,


Find the probability that a person selected at random


(i) likes the taste (ii) dislikes the taste (iii) undecided about the taste

 7

In the sample of 50 people, 21 has type “O” blood, 22 has type “A” blood, 5 has type “B” blood and 2 has type “AB” blood. If a person is selected at random find the probability that

(i) the person has type “O” blood (ii) the person does not have type “B” blood


(iii) the person has type “A” blood (iv) the person does not have type “AB” blood.