Q23 of 40 Page 1

Two different dice are thrown together, find the probability that the sum of the numbers appeared is less than 5.

OR


Find the probability that 5 Sundays occur in the month of November of a randomly selected year.


Total outcome when two dices are thrown:


= 36 outcomes


Favourable outcome when the sum is less than 5.


(1,1) (1,2) (2,1) (1,3) (2,2) (3,1)


= 6 outcomes


∴ P (getting a sum less than 5)


OR


We know that in any year the number of days in November are 30.


Therefore there will be 4 complete weeks and 2 days in November .


Now, 4 complete weeks will have 4 Sundays.


The remaining 2 days can be any combination from the below :


Sunday – Monday


Monday – Tuesday


Tuesday – Wednesday


Wednesday – Thursday


Thursday – Friday


Friday – Saturday


Saturday – Sunday


Hence, Total outcome = 2 i.e. (Sunday – Monday & Saturday – Sunday )


∴ P(occurring of 5 Sundays in November ) = 2/7


More from this chapter

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21

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball at random from the bag is three times that of a red ball, find the number of blue balls in the bag.

 22

Prove that

OR


Prove that


24

In Fig. 4, a circle touches all the four sides of a quadrilateral ABCD. If AB = 6 cm, BC = 9cm, and CD = 8 cm, then find the length of AD.


 25

The perimeter of a sector of a circle with radius 6.5 cm is 31 cm, then find the areas of the sector.