Q28 of 50 Page 1

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is

(i) A king


(ii) Of red colour


(iii) A face card


(iv) A queen


Given 2 red queens and 2 black jacks are removed from the pack of 52 playing cards.


Then, remaining number of cards = 52 – 4 = 48


We know that probability of an event E, P (E)


(i) Number of kings = 4


∴ P (a king) = 4/48 = 1/12


(ii) Since 2 red queens are removed, number of red colour cards remaining = 26 – 2 = 24


∴ P (of red colour) = 24/48 = 1/2


(iii) Since 2 red queens and 2 black jacks are removed, number of face cards remaining = 12 – 4 = 8


∴ P (a face card) = 8/48 = 1/6


(iv) There are only 2 queens remaining.


∴ P (a queen) = 2/48 = 1/24


More from this chapter

All 50 →
26

In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by the students. Which value is shown in this question?

 27

The angle of elevation of the top of a tower at a distance of 120 m from a point A on the ground is 45°. If the angle of elevation of the top of a flagstaff fixed at the top of the tower, at A is 60°, then find the height of the flagstaff. [Use √3 = 1.73]

 29

If A ( -3, 5), B (-2, -7), C (1, -8) and D (6, 3) are the vertices of a quadrilateral ABCD, find its area.

 30

A motorboat whose speed in still water is 18 km/h, takes 1 hour to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.