Class XII

In a meeting, 70% of the members favour and 30% oppose a certain proposal.A member is selected at random and we take X = 0 if he opposed, and X = 1 if he is in favour. Find E(X) and Var (X).
  1. E(X) = 0.9 and Var (X) = 0.29
  2. E(X) = 0.8 and Var (X) = 0.14
  3. E(X) = 0.7 and Var (X) = 0.21
  4. E(X) = 0.6 and Var (X) = 0.22
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
  1. 1 2
  2. 2 5
  3. 8 15
  4. 9 20
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
  1. 3 20
  2. 29 34
  3. 47 100
  4. 13 102
What is the probability of getting a sum 9 from two throws of a dice?
  1. 1 6
  2. 1 8
  3. 1 9
  4. 1 12
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
  1. 1 3
  2. 3 4
  3. 7 19
  4. 8 21
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