Q2 of 134 Page 31

A die is thrown. Find the probability of getting:

(i) a prime number


(ii) 2 or 4


(iii) a multiple of 2 or 3

given: die is thrown

Therefore, the total number of outcomes is six


n(S)=6


formula:


(i) let E be the event of getting a prime number


E= {2,3,5}


n(E)=3




(ii) let E be the event of getting 2 or 4


E= {2,4}


n(E)=2




(iii) let E be the event of getting a multiple of 2 or 3


E= {2,3,4,6}


n(E)=4




More from this chapter

All 134 →
4

Determine whether the following compound statements are true or false:

(i) Delhi is in India and 2 + 2 = 4


(ii) Delhi is in England and 2 + 2 = 4


(iii) Delhi is in India and 2 + 2 = 5


(iv) Delhi is in England and 2 + 2 = 5

 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)
















 3

In a simultaneous throw of a pair of dice, find the probability of getting:

(i) 8 as the sum


(ii) a doublet


(iii) a doublet of prime numbers


(iv) an even number on first


(v) a sum greater than 9


(vi) an even number on first


(vii) an even number on one and a multiple of 3 on the other


(viii) neither 9 nor 11 as the sum of the numbers on the faces


(ix) a sum less than 6


(x) a sum less than 7


(xi) a sum more than 7


(xii) neither a doublet nor a total of 10


(xiii) odd number on the first and 6 on the second


(xiv) a number greater than 4 on each die


(xv) a total of 9 or 11


(xvi) a total greater than 8

 4

In a single throw of three dice, find the probability of getting a total of 17 or 18