Mathematics – Class 12 Mock Test 9

1. Bag 1 contains 4 white and 6 black balls while another Bag 2 contains 4 white and 3 black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability that it was drawn from Bag 1.

2. The plane 5x + y + kz + 1 = 0 and directional ratios of a line (3, -1, 1) are parallel, find k.

3. The condition \(\frac {a}{a1} = \frac{b}{b1} = \frac{c}{c1}\) is for a plane and a line are _____ to each other.

4. How many outcomes can a Bernoulli trial have?

5. Formula for Bayes theorem is ________

6. A month has atmost 31days, X = Number of days in a month, is X a discrete random variable?

7. Determine the value c so that the following function can serve as a probability distribution of the discrete random variable x:
f(x)=c(x+4), for x=0,1,2,3

8. The term Bernoulli trials is termed after which swiss mathematician?

9. A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be green if the first ball drawn is red? The balls are replaced in the bag.

10. A box contains 5 brown and 7 black pebbles. What is the probability of drawing a brown pebble if the first pebble drawn is black? The balls drawn are not replaced in the box.