Q28 of 805 Page 1

Two dice are rolled once. Find the probability of getting such numbers on two dice, whose product is 12.

OR


A box contains 80 discs which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.


When we rolled two dice we have following outcomes.

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)


(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)


(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)


(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)


(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)


(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)


The number whose product is 12 are (2, 6), (3, 4), (4, 3),


(6, 2)


Probability of numbers whose product is 12




OR


In a discs of number 1 to 80, the following are perfect


square number disc.


1, 4, 9, 16, 25, 36, 49, 64


Probability of perfect square numbers =



More from this chapter

All 805 →
26

Find the area of the quadrilateral ABCD, whose vertices are A(-3, -1), B(-2, -4), C(4, -1) and D(3, 4)

OR


Find the area of triangle formed by joining the mid-points of the sides of the triangle whose vertices are A(2, 1), B(4, 3) and C(2, 5).


 27

From the top of vertical tower, the angle of depression of two cars, in the same straight line with the base of the tower, at an instant are found to be 45° and 60°. If the cars are 100 m apart and are on the same side of the tower, find the height of the tower. [Use = 1.73]

 29

Prove that the tangents at any point of a circle is perpendicular to the radius through the point of contact.

 30

The first and last terms of an A.P. are 8 and 350 respectively. If it’s common difference is 9, how many terms are there and what is their sum?

OR


How many multiple of 4 lie between 10 and 250? Also find their sum.