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4. Outside Delhi - 2013
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Q31 of 49 Page 1

Find the probability that a leap year selected at random, will contain 53 Mondays.

A leap year has 366 days = 52 weeks and 2 days

Sample Space = {(Sun, Mon), (Mon, Tue), (Tue, Wed), (Wed, Thurs), (Thurs, Fri), (Fri, Sat), (Sat, Sun)}


E (a Monday) = {(Sun, Mon), (Mon, Tue)}


⸫ P (E) =


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29

While boarding an aero plane, a passenger got hurt. The pilot, showing promptness and concern, made arrangements to hospitalize the injured and so the plane started late by 30 minutes. To reach the destination, 1500 km away, in time, the pilot increased the speed by 100 km/hour. Find the original speed/hour of the plane. Do you appreciate the values shown by the pilot, namely, promptness in providing help to the injured and his efforts to reach in time?

30

A container, open at the top and made up of metal sheet is in the form of a frustum of a cone of height 16 cm with diameters of its lower and upper ends a s 16 cm and 40 cm respectively. Find the cost of metal sheet used to make the container, if it cost ₹10 per 100 cm2. [Take π = 3.14]

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10

Three coins are tossed simultaneously. Find the probability of getting exactly two heads.

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4. Outside Delhi - 2013
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