Independent
Dependent
Sample Space
CHALLENGE
Random
100

Sunny has a 5 oranges, 3 apples and 2 bananas in a basket. He picks on orange and replaces it. Then he picks an apple. What is the probability of getting an orange then an apple?

8/100


100

A jar consists of 21 sweets. 12 are green and 9 are blue. William picked two sweets at random without replacement. Find the probability that one sweet is blue and one sweet is green.

108/420 or 9/35

100

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the CORRECT Sample Space List of possible combinations?

tuna milk, tuna water, chicken milk, chicken water, peanut butter milk, peanut butter water

100

Ryan has a bag of eight marbles. There are 3 green marbles, 2 red marbles, and 3yellow marbles. If he draws a marble, replaces it, and then draws another , what is the probability of him drawing a green marble or a red marble?

5/8

100

On a six-sided die, each side has a number between 1 and 6. What is the probability of throwing a 3 or a 4?

2/6 or 1/3

200

There are 12 red apples, 10 green apples, and 8 yellow apples in a bowl. Sanjay picks out one apple randomly, returns it to the bowl, and then picks another apple.

What is the probability that Sanjay selects a green apple both times?

100/900 or 10/90

200

Adam has a bag containing four yellow gumdrops and one red gumdrop. He will eat one of the gumdrops, and a few minutes later, he will eat a second gumdrop. What is the probability that Adam will eat two gumdrops of different colors?

4/20 or 1/5

200

A sandwich shop has three types of sandwiches: ham, turkey, and chicken on two types of bread, white or wheat. 

wheat ham, white ham, wheat turkey, white turkey, wheat chicken, white chicken. 

200

 Karen takes her group of third grade students out for ice cream. There is a total of 30 students. 13 of the students like chocolate ice cream, 12 of the students like strawberry ice cream, and 5 students like vanilla ice cream. Out of the 30 students, what is the probability of a student liking ONLY chocolate or strawberry?

25/30 or 5/6

200

There are 20 marbles in a bag. 5 marbles are red, 8 marbles are blue, and 7 marbles are green. What is the probability of drawing a red marble? 

5/20 or 1/4

300

A bag contains 15 purple teddies, 12 green teddies, and 10 blue teddies. Bobby picks out one teddy, puts it back in the bag, and then picks out another teddy. What is the probability that Bobby picks out a green teddy the first time and a blue teddy the second time?

120/1369

300

A jar contains 4 black marbles and 3 red marbles. Two marbles are drawn without replacement. What is the probability of getting a black then a second black marble?

12/42 or 2/7

300

The chess club must decide when to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday.

Tuesday, Wednesday, Thursday

300

 A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5

2/6 or 1/3

300

What is the probability that a player rolls a prime number on the first dice and rolls a composite number on the second dice?

8/36 or 2/9

400

What is the probability that a player rolls an odd number on the first dice and rolls an even number on the second dice?

9/36 or 1/4
400

There are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown. Once a card is selected, it is not replaced. Find the probability of a yellow card and then a green card.

60/870 or 2/29

400

The chess club must decide when to meet for a practice. The possible days are Tuesday, Wednesday, or Thursday. The possible times are 3, 4, or 5 p.m.

Tuesday 3, tuesday 4, tuesday 5, wednesday 3, wednesday 4, wednesday 5, thursday 3, thursday 4, thursday 5

400

A spinner has 4 equal sectors colored yellow, blue, green, and red. What is the probability of landing on red or blue after spinning this spinner?

2/4 or 1/2

400

The 26 letters of the alphabet tiles are placed in a box. Mariam picks one letter tile from the box and does not replace it. What is the probability of Mariam picking two vowels one after the other?

20/650 or 2/65

500

There are 8 star shaped cookies, 5 moon shaped cookies, and 7 heart shaped cookies in the cookie jar. Sunita takes one cookie out of the jar, puts it back inside the jar, and then takes another cookie out. What is the probability that Sunita selects a heart shaped cookie and then a star shaped cookie?

56/400 or 7/50

500

A store sells a box of highlighters that contains 4 yellow, 3 blue, 2 pink, and 1 green highlighter. What is the probability of randomly picking first 1 blue and then 1 pink highlighter from the box? Without replacement


6/90 or 1/15

500

A spinner can land on either red or blue. You spin and then roll a six-sided die.

red 1, red 2, red 3, red 4, red 5, red 6, blue 1, blue 2, blue 3, blue 4, blue 5, blue 6

500

A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar, what is the probability that it is yellow or green?

7/10

500

Mrs. Smith puts number tiles 1-20 in a bag. What is the probability that a number tile divisible by 5 is drawn?

4/20 or 1/5

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