Question

10. If out of 360 days weather forecast in a year only 280 days weather forecast tally, then
(i) What is the probability of a day selected at random to be a tallied weather forecast.
(ii) What is the probability of a day selected at random to be a day which does not tally
weather forecast.​

Answer 1

Given :- If out of 360 days weather forecast in a year only 280 days weather forecast tally, then

(i) What is the probability of a day selected at random to be a tallied weather forecast.

(ii) What is the probability of a day selected at random to be a day which does not tally

weather forecast. .

Solution :-

→ Total days weather forecast = Total number of outcomes = 360 days

→ Total days weather forecast tally = Total favourable outcomes = 280 days .

so,

→ The probability of a day selected at random to be a tallied weather forecast = Total favourable outcomes / Total number of outcomes = 280 / 360 = 7/9 (Ans.)

and,

→ The probability of a day selected at random to be a day which does not tally weather forecast. = 1 - The probability of a day selected at random to be a tallied weather forecast = 1 - 7/9 = 2/9 (Ans.)

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Answer 2

Given:

If out of 360 days weather forecast in a year only 280 days weather forecast tally.

To find:

(i) What is the probability of a day selected at random to be a tallied weather forecast.

(ii) What is the probability of a day selected at random to be a day which does not tally weather forecast.​

Solution:

It is given that if out of 360 days weather forecast in a year only 280 days weather forecast tally.

Total outcomes = 360

(i) What is the probability of a day selected at random to be a tallied weather forecast.

weather forecast tally = 280 days

$P(E) = \dfrac{280}{360}$

$=> \dfrac{14}{18}$

$=> \dfrac{7}{9}$

Hence, the probability of a day selected at random to be a tallied weather forecast is $=> \dfrac{7}{9}$

(ii) What is the probability of a day selected at random to be a day which does not tally weather forecast.​

weather forecast does not tally = 360 - 280 = 80 days

$P(E) = \dfrac{80}{360}$

$=> \dfrac{4}{18}$

$=> \dfrac{2}{9}$

Hence, the probability of a day selected at random to be a day which does not tally weather forecast is $=> \dfrac{2}{9}$