Short Answer TypeIn an AP, if the common difference (d) = –4, and the seventh term (a7) is 4, then find the first term.
Two different dice are tossed together. Find the probability:
(i) of getting a doublet
(ii) of getting a sum 10, of the numbers on the two dice.
The outcomes when two dice are thrown together are
(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)
Total number of outcomes = 36
n (s) = 36
i) A = getting a doublet
A = {(1,1), (2,2), (3,3),(4,4), (5,5), (6,6)}
n(A) = 6
B = getting sum of numbers as 10.
B = {(6, 4), (4, 6), (5, 5)}
n(B) =3
Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6, –3). Hence find m.
An integer is chosen at random between 1 and 100. Find the probability that it is :
(i) divisible by 8
(ii) not divisible by 8
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