The king and queen of diamonds are removed from a pack of well-shuffled cards. One card is selected at random from the remaining cards. The probability of getting the king of clubs is:

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

2. $\Big(\dfrac{3}{4}\Big)$

3. $\Big(\dfrac{1}{50}\Big)$

4. $\Big(\dfrac{3}{52}\Big)$

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is thrice that of a red ball, the number of blue balls in the bag is:

1. 10

2. 15

3. 20

4. 25

Aditya has a bag containing some black and some white balls. The probability of a randomly chosen ball from this bag being white is $\Big(\dfrac{2}{5}\Big)$. If 5 white balls are added and 5 black balls are removed from the bag, the probability of choosing a white ball changes to $\Big(\dfrac{3}{5}\Big)$. The total number of balls in the bag is:

1. 10

2. 25

3. 45

4. 50

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