Page 185 - Engineering Mathematics Workbook_Final

Probability & Statistics

(i) Spade (or) face card 133. Three unbiased dice of different
colours are rolled. The probability
(ii) King (or) red card
that the same number appears on

(iii) King (or) queen card atleast two of the three dice is

1
129. A & B stand in a ring with 10 other (a) 2 (b)
persons. If the arrangement of the 9 3
twelve persons is at random, find the

probability that there are exactly three (c) 4 (d) None
persons between A & B. 9

130. A number is selected at random from 134. An urn contains 5 red and 7 green
first 200 natural numbers. Find the balls. A ball is drawn at random and
probability that the number is its colour is noted. The ball is placed

divisible by 6 or 8. back into the urn along with another
ball of the same color. The
131. A point is selected at random inside a probability of getting a red ball in the
circle. Find the probability that the next draw is
point is nearer to the centre of the
circle than to its circumference. 65 67
(a) (b)
156 156
132. In a class of 100 students, 40 failed in
mathematics, 30 failed in physics, 25 79 89
failed in chemistry, 20 failed in maths (c) 156 (d) 156
and physics, 15 failed in physics &
chemistry, 10 failed in chemistry and Conditional Probability

Maths, 5 failed in Maths, physics and 135. A ticket is selected at random from
chemistry. If a students selected at 100 tickets numbered (00, 01, 02,
random, then find the probability that
….., 99). If X & Y denote the sum
(i) he passed in all three subjects and the product of the digits on the
tickets respectively, the value of P(X
(ii) he failed in atmost one subject = 9/ Y = 0) is

(iii) he failed in exactly one subject 1 2
(a) (b)
(iv) he failed in atleast two subjects 19 19

(v) he failed in atmost two subjects 3 4
(c) (d)
(vi) he failed in exactly two subjects 19 19

183