Directions:

Two different dice are rolled together.

Based on this information, answer the following questions:

47. The probability that the sum of the two numbers on the top of the dice is at least 10 is:

(a) $\Big(\dfrac{1}{2}\Big)$

(b) $\Big(\dfrac{1}{3}\Big)$

(c) $\Big(\dfrac{1}{4}\Big)$

(d) $\Big(\dfrac{1}{6}\Big)$

48.The probability of getting two different numbers on the two dice is:

(a) $\Big(\dfrac{1}{6}\Big)$

(b) $\Big(\dfrac{5}{6}\Big)$

(c) $\Big(\dfrac{1}{4}\Big)$

(d) $\Big(\dfrac{3}{4}\Big)$

49.The probability that the product of the two numbers on the top of the dice is at most 12 is:

(a) $\Big(\dfrac{1}{6}\Big)$

(b) $\Big(\dfrac{2}{3}\Big)$

(c) $\Big(\dfrac{23}{36}\Big)$

(d) $\Big(\dfrac{25}{36}\Big)$

50.The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is:

(a) $\Big(\dfrac{1}{3}\Big)$

(b) $\Big(\dfrac{5}{18}\Big)$

(c) $\Big(\dfrac{11}{36}\Big)$

(d) $\Big(\dfrac{13}{36}\Big)$

Directions:

A bag contains 5 yellow, 6 red, 3 white and n black balls. The probability of drawing a white ball from the bag is $\Big(\dfrac{1}{7}\Big)$.

Based on this information, answer the following questions:

51.How many black balls are there in the bag?
(a) 6
(b) 7
(c) 8
(d) 9

52.If a ball is picked at random from the bag, what is the probability that the chosen ball is not black?

(a) $\Big(\dfrac{2}{3}\Big)$

(b) $\Big(\dfrac{2}{7}\Big)$

(c) $\Big(\dfrac{4}{7}\Big)$

(d) $\Big(\dfrac{6}{7}\Big)$

53.If a ball is picked at random from the bag, what is the probability that it is either yellow or black?

(a) $\Big(\dfrac{3}{7}\Big)$

(b) $\Big(\dfrac{4}{7}\Big)$

(c) $\Big(\dfrac{6}{7}\Big)$

(d) $\Big(\dfrac{5}{14}\Big)$

54.If 5 more blue balls are added to the bag and one red ball is removed from it, what is the probability of picking up a red ball if a ball is picked up at random from the bag?

(a) $\Big(\dfrac{1}{3}\Big)$

(b) $\Big(\dfrac{1}{5}\Big)$

(c) $\Big(\dfrac{1}{6}\Big)$

(d) $\Big(\dfrac{1}{7}\Big)$

Assertion (A): A bag contains 4 red, and 8 blue marbles. If a marble is drawn at random, then the probability of drawing a red marble is $\Big(\dfrac{1}{3}\Big)$.

Reason (R): Probability of an event A is given by
P(A) = $\dfrac{\text{total no. of favorable outcomes}}{\text{no. of outcomes}}$ .

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Assertion (A): The probability of not picking a face card when you draw a card at random from a deck of playing cards is $\Big(\dfrac{3}{13}\Big)$.

Reason (R): There are 13 face cards in a deck of playing cards.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false