10th Class Mathematics Probability Question Bank Case Based (MCQs) - Probability

Study Case : Q. 16 to 20

In the month of May, the weather forecast department gives the prediction of weather for the month of June. The given table shows the probabilities of forecast of different days:

Days Sunny Cloudy Partially cloudy Rainy

Probability \[\frac{1}{2}\] X \[\frac{1}{5}\] y

If the forecast is \[\text{1}00%\] correct for June, then answer the following questions:

The number of sunny days in June is:

A) 5

B) 10

C) 15

D) 20

Correct Answer: C

Solution :

[c] Total number of days in June = 30

Number of sunny days = P(sunny day)

\[\times 30=\frac{1}{2}\times 30=15\]

So, option [c] is correct