Q9 of 158 Page 33

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

All 158 →
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

Which of the following cannot be valid assignment of probability for elementary events or outcomes of sample space S = {w1, w2, w3, w4, w5, w6, w7}:





















































Elementary events:



w1



w2



w3



w4



w5



w6



w7



(i)



0.1



0.01



0.05



0.03



0.01



0.2



0.6



(ii)

















(iii)



0.7



0.6



0.5



0.4



0.3



0.2



0.1



(iv)
















 2

A die is thrown. Find the probability of getting:

(i) a prime number


(ii) 2 or 4


(iii) a multiple of 2 or 3