End-of-the-Year Math Review Questions

SC- A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

10/12

You have 3 shirts and 4 pants. How many outfits can you make? -E.G.C.

12

What is the probability you will choose a yellow ball from 15 yellow balls, 12 green balls, and 27 red balls.

15/54

hattie is at a party. there are 6 dances and only 3 boys. one of those boys is Aidan. how many times is hattie most likely to dance with Aidan if each boy gets an equal amount of turns? -E.G.C.

2

SB- A card is chosen at random from a deck of 52 playing cards. There are 4 Queens and 4 Kings in a deck of playing cards. What is the probability the card chosen is a Queen or a King? 1/13 2/13 1/8 2/11

2/13

SC- In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

1/3

If there are 6 passengers and 6 seats. One of the passengers is you. What is the probability that you will sit in seat 5? -E.G.C.

1/6

What are the chances you will roll a 5 on a die? -E.G.C.

1/6

SC- What is the probability of getting a sum 9 from two throws of a dice?

1/9

SB- Two dice are tossed. The probability that the total score is a prime number is: 1/6 1/2 5/12 7/9

5/12

SC- Two dice are tossed. The probability that the total score is a prime number is:

5/12

SB- What is the probability of choosing a vowel from the alphabet? 21/26 5/26 1/21

5/26

SC- Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen?

55/221

SB- A number from 1 to 11 is chosen at random. What is the probability of choosing an odd number? 1/11 5/11 6/11

6/11

SB- There are 10 counters in a bag: 3 are red, 2 are blue and 5 are green. The contents of the bag are shaken before Maxine randomly chooses one counter from the bag. What is the probability that she doesn't pick a red counter? 3/10 3/7 2/5 7/10

7/10

If there was a bag of 4 green marbles and 7 blue marbles, what is the probability you will pull out a blue marble? -E.G.C.

7/11

SC- Three unbiased coins are tossed. What is the probability of getting at most two heads?

7/8

SC- Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

9/20

What is permutation? -E.G.C.

An outcome in which the order does matter

What is a combination? -E.G.C.

An outcome in which the order does not matter

SB- Which of the following experiments does NOT have equally likely outcomes? Choose a number at random from 1 to 7. Toss a coin. Choose a letter at random from the word SCHOOL. None of the above.

Choose a letter at random from the word SCHOOL.

How can you calculate the number of different outcomes? -E.G.C.

Multiply the numbers of each units by one another.

SC- If there are 5 green apples and 7 red apples... Which kind of apple are you most likely to pick out.

Red apples

SC- If Sarah has 50 rubber balls and Emma has 50 bouncy balls. What is the probability that Sophie will get Emma's bouncy ball?

Sophie will have a 50% chance of getting Emma's bouncy ball.

What is probability? E.G.C.

The likelihood that an event will occur

What is the complement of a probability? -E.G.C.

The likelihood that an outcome won't happen

SC- What does Probability mean?

the extent to which something is probable

An eight-sided die is rolled, find the probability that an even number is obtained. -E.G.C.

1/2

SB- The die has 8 equal faces marked with the numbers 1 to 8. If the die is thrown once, what is the probability that the face that lands uppermost has a prime number? 1/4 1/2 3/8 5/8

1/2

What are the chances you will get tails when flipping a coin? -E.G.C.

1/2

SC- From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

1/26

SB- A new superman MasterCard has been issued to 2000 customers. Of these customers, 1500 hold a Visa card, 500 hold an American Express card and 40 hold a Visa card and an American Express card. Find the probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card. 2/25 or 1/50

2/25

SB- What is the probability that the sum of two die will be greater than 8, given that the first die is 6?

2/3

SC- A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

2/7

SC- In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

2/7

if there is a box of 56 blue marbles and 3.6 times that many green marbles, what are the chances you will pull out a green marble? -E.G.C.

206/262

SB- In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is: 21/46 25/117 1/50 3/25

21/46

SC- 2

21/48

SB- A committee of three is chosen from five councilors - Adams, Burke, Cobb, Dilby and Evans. What is the probability Burke is on the committee?

3/5

SB- A coin is tossed three times. What is the probability of obtaining one Head and two Tails? 1/4 3/8 1/3 5/8

3/8

SB- Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then folded, put in a hat, and mixed thoroughly. One piece of paper is chosen (without looking) from the hat. What is the probability it is an I? 4/11 2/5 1/3 1/4

4/11

If there was a box of 4 pink pencils, 18 orange pencils, and 7 yellow pencils, what is the probability you will pull out a pink pencil? -E.G.C.

4/29

SB- A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? 3/4 1/8 4/7 3/7

4/7