Probability

You are rolling a regular die twice. What is the probability, in simplest fractional form, of rolling first an even number and then a prime number?

• 1/4
• 1/18
• 1/36
• 5/36

You are visiting a kennel that has thirteen German shepherds, ten Labrador retrievers, four Chihuahuas, seven poodles, and three West Highland terriers. When you arrive, the dogs are taking a walk.
What is the probability of seeing a Chihuahua first, then either a Labrador or a German shepherd next?

• 7/1332
• 1/1332
• 23/333
• 2/233

Three out of eight students in Mr. Allen's class prefer buying lunch to bringing it. Twenty four students prefer buying lunch.
(a) How many students are in Mr. Allen's class?

• 20
• 16
• 24
• 64

b) A team of 4 students is to be formed from Mr Allen's class.
What is the probability that the first three chosen students prefer buying lunch and the last one prefers bringing it?

• 0.0451
• 0.0319
• 0.0233
• 0.0912

In a group of fifteen students, three names begin with the letter B and four begin with a G. The remaining eight names begin with A, C, D, E, F, H, I and J respectively.
The 15 names are placed in a box. The box is shaken and two names are drawn out. Find the probability that both names begin with any letter except G or B.

• 14/25
• 7/26
• 4/15
• 29/55

In a group of fifteen students, three names begin with the letter B and four begin with a G. The remaining eight names begin with A, C, D, E, F, H, I and J respectively. The 15 names are placed in a box. The box is shaken and two names are drawn out. Find the probability that both names begin with the same letter.

• 3/35
• 8/35
• 9/35
• 11/35

A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag, keeps it and then picks another ball. Calculate the probability that Paul picks two black balls. 

• 3/28
• 5/28
• 9/28
• 11/28

A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag, keeps it and then picks another ball.
If Paul decided to pick up a third ball at random, without replacing the first two, what is the probability that the three balls have the same color? 

• 5/56
• 13/56
• 11/56
• 13/56

Bag A contains 4 cards numbered 1, 4, 6, 9 and bag B contains 3 cards numbered 2, 3, 6.Two cards were drawn at random, the first from Bag A and the second from Bag B.
 Calculate the probability, in simplest fractional form, that the two numbers obtained are both odd.

• 1/6
• 5/6
• 7/12
• 2/3

Bag A contains 4 cards numbered 1, 4, 6, 9 and bag B contains 3 cards numbered 2, 3, 6.Two cards were drawn at random, the first from Bag A and the second from Bag B.
 Calculate the probability, in simplest fractional form, that the two numbers obtained have a sum no more than 8.

• 7/12
• 1/3
• 3/4
• 1/6