Q9 of 134 Page 32

A card is picked up from a deck of 52 playing cards.

(i) What is the sample space of the experiment?


(ii) What is the event that the chosen card is a black faced card?

Given: There is a deck of 52 playing card.


To Find: What is the sample space for the experiment and what is the event that the chosen card is black faced red.


Explanation: If a card is picked up from a deck of 52 playing cards, then the sample space of this experiment S is


(i) S = 52 cards in a deck


(ii) Let E is the event, and a black face card is chosen,


Then The possible outcomes in E are jack, queen, and king of clubs and the jack, queen and king of spades.


E = {J4, Q4, K4, Q*, KAM)


Hence, E = {J4, Q4, K4, Q*, KAM)


More from this chapter

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7

Two dice are thrown. The events A, B, C, D, E and F are describes as follows.

A = Getting an even number on the first die.


B. Getting an odd number on the first die.


C = Getting at most 5 as sum of the numbers on the two dice.


D = Getting the sum of the numbers on the dice greater than 5 but less than 10.


E = Getting at least 10 as the sum of the numbers on the dice.


F = Getting an odd number on one of the dice.


(i) Describe the following events: A and B, B or C, B and C, A and E, A or F, A and F


(ii) State true or false:


(a) A and B are mutually exclusive.


(b) A and B are mutually exclusive and exhaustive events


(c) A and C are mutually exclusive events


(d) C and D are mutually exclusive and exhaustive events


(e) C, d and E are mutually exclusive and exhaustive events


(f) A’ and B’ are mutually exclusive events


(g) A, B, F are mutually exclusive and exhaustive events

 8

The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are then put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the following events:

A = The number on the first slip is larger than the one on the second slip.


B = The number on the second slip is greater than 2


C = The sum of the numbers on the two slips is 6 or 7


D = The number on the second slips is twice that on the first slip.


Which pair (s) of events is (are) mutually exclusive?

 1

Find the component statements of the following compound statements:

(i) The sky is blue, and the grass is green.


(ii) The earth is round, or the sun is cold.


(iii) All rational numbers are real, and all real numbers are complex.


(iv) 25 is a multiple of 5 and 8.

 2

For each of the following statements, determine whether an inclusive “OR” o exclusive “OR” is used. Give reasons for your answer.

(i) Students can take Hindi or Sanskrit as their third language.


(ii) To entry a country, you need a passport or a voter registration card.


(iii) A lady gives birth to a baby boy or a baby girl.


(iv) To apply for a driving license, you should have a ration card or a passport.