1.
If George is rolling one die, what is the probability that he will roll a 6?
2.
If a bag contains 3 white marbles, 4 red marbles, and 5 blue marbles, what is the probability of selecting a red marble?
3.
If a bag contains 3 white marbles, 4 red marbles, and 5 blue marbles, what is the probability of selecting a red or a blue marble?
4.
If a bag contains 3 white marbles, 4 red marbles, and 5 blue marbles, what is the probability of selecting a red marble and then selecting a blue marble without replacement?
5.
An identity card is picked at random. What is the probability that the sum of the last two digits of its number is 9?
6.
A box contains 36 marbles. If a marble is picked at random, the probability of being red is 2/9. How many red marbles should be added to make this probability 1/3?
7.
The letters of the name SMISS are arranged in a line. If an arrangement is chosen at random, what is the probability that the three Ss are together?
8.
One of the 5 points (3, 2), (2, 1), (1, - 4), (5, 5) and (4, 6) is selected at random. What is the probability that it lies on the straight line 3x – 2y = 5?
9.
The letters of the word “PROBABILITY” are written on cards and the cards are then shuffled. If a card is picked at random, find the probability that it will contain a vowel.
10.
I have two 10-cent coins, three 20-cent coins, four 50-cent coins and five $1 coins in my pocket. If I choose a coin at random, find the probability that the coin is worth at least 50 cents.
11.
A man tosses two fair dice. One is numbered 1 to 6 in the usual way and the other is numbered 1, 3, 5, 7, 9 and 11. Find the probability that the total of the two numbers shown is greater than 10.
12.
A card is drawn at random from a normal pack of 52 cards. If A represents the event that the card drawn is a Queen and B represents the event that the card drawn is a Heart. Find P(A|B).
13.
Two fair dice, one red and one blue, are tossed. What is the probability that the total of the numbers shown by the two dice exceeds 3?
14.
A bag contains 30 balls. The balls are numbered 1,2,3,4 ….30. A ball is drawn at random. Find the probability that the number on the ball is a prime number.
15.
An interview with 18 people revealed that 5 of the 8 women and 8 of the 10 men preferred drinking coffee to tea. What is the probability that if one person is selected from the group of 18 people, it is either a woman or someone who preferred to drink coffee than tea?
16.
A computer generates 4-digit random numbers in the range 0000 to 9999 inclusive. Find the probability that the computer produces a random number that begins and ends with the digit 1.