Probability (Part 2)

A die and a coin are tossed. In how many ways can they fall?

• 8

• 16

• 12

• 20

A menu lists four types of soup, three meat dishes, and five desserts. How many different meals are possible consisting of one soup, one meat and a dessert?

• 60

• 48

• 12

• 36

There are 7 roads connecting town A and B and 10 roads connecting town B and C. In how many ways can one drive from A to C and return, passing though B on both trips if without driving the same road twice?

• 1, 152

• 1, 200

• 3, 780

• 2, 880

Each of the numbers 1, 2, 3, …, 29, 30 is written on slips of paper and the slips of paper are placed in a box. The box is shaken and one slip of paper is drawn at random. What is the probability of a number greater than 6 but less than 22?

• 1/2

• 7/15

• 1/3

• 2/3

Two number cubes are rolled. Find the probability of getting a sum of multiple of 3?         

• 1/3

• 3/4

• 1/5

• 2/3

A spinner is divided into 12 equal sectors and the numbers 1, 2, 3, …, 12 are written in the sectors. What is the probability that it stops at a prime number if it is known that it stopped at a number divisible by 3?

• 1/3

• 1/4

• 1/2

• 1/5

Two light bulbs are drawn at random from 15 bulbs of which 5 are defective. What is the probability that one bulb is defective and the other is good?

• 5/21

• 3/13

• 6/13

• 10/21

Three coins are tossed. What is the probability of exactly two heads to appear?

• 1/4

• 1/3

• 3/8

• 5/6

Three men and three women are seated randomly at a round table. What is the probability that all the women are seated together?

• 2/5

• 2/3

• 3/5

• 3/10

Suppose two cards are drawn from a deck of 52 cards. What is the probability that both of them are spades?

• 4/13

• 1/17

• 1/13

• 4/13