CAT4MBA

Q1. A number cube is rolled 400 times and the results recorded as follows: there were 63 ones, 68 twos, 57 threes, 66 fours, 65 fives, and 81 sixes. What is the experimental probability of rolling an even number?
a. 0.46
b. 0.36
c. 0.64
d. 0.54

Q2. Two persons each make a single throw with a pair of dice. The probability that the sum of nos. of dice of their throws are unequal is
a. 575/648
b. 273/432
c. 264/816
d. None of these

Q3. Find the probability of drawing a king and a queen of the same colour from a pack of cards, without replacing the cards.
a. 1/663
b. 4/663
c. 2/663
d. 8/663

Q4. The probability of a cure with drug A is 0.8 and with drug B is 0.6.  One randomly selected patient is treated with drug A and another with drug B.  What is the probability that
(a) both patients are cured
(b) neither patient is cured?

Q5. Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3, . . . . . . .10}. Then the probability that |X – Y| > 5 is :
a. 7/11
b. 40/121
c. 35/121
d. 30/121

Q6. A nationwide survey showed that 65% of all children in the United States dislike eating vegetables. If 4 children are chosen at random, what is the probability that all 4 dislike eating vegetables?

Q7.A bag contains 5 red marbles and 6 purple marbles. One marble is drawn at random and not replaced. Then a second marble is drawn at random. What is the probability that the first marble is purple and the second one is red?
a. 6/5
b. 3/5
c. 5/6
d. 30/121