Theoretical vs Experimental
Simple Theoretical Probability
Challenging Theoretical Probability
The 36 sample space (two dice)
Independent events
100

If you flip a coin 10 times, math says that it should land on heads 5 times. What type of probability is this? 

Theoretical probability

100

What is the theoretical probability of rolling a 5 on a standard six sided die? 

1/6

100

A drawer has 20 socks: 10 black, 6 white, and 4 blue. What is the probability, as a percent, of picking a blue sock? 

4/20 or 1/5 or 20%

100

When rolling two dice, how many different ways can you roll a sum of 2? 

only 1 way (1 and 1)

100
if you flip a coin and roll a die, does the coin landing on heads change the chnaces of rollign a 6? What kind of events are theses? 

No it does not change the chances, indepdent events! 

200

You roll a standard six sided die 20 times and it lands on a number 4 a total of 6 times. what type of probability is represented? 

Experimental probability

200

A bagg contains 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of randomly choosing a blue marble? 

4/12 

200

What is the probability of rolling a prime number on a standard six sided die? 

Prime numbers are 2,3, and 5 so 3/6 so 1/2. Prime numbers can only be divided by 1 or themselves!

200

What is the probability of rolling "doubles" (the same number on both dice)? 

what is 6/36? simplified 1/6

200

You flip a coin and roll a six sided die. what is the total number of possible outcomes in this sample space? 


2 coin outcomes x 6 die outcomes = 12 possible outcomes! 

300

According to theoretical probability, what is the exact probability of rolling an even number on a standard six sided die (answer as a simplified fraction or percent) 

1/2 or 50%

300

A spinner is divided into 8 equal sections numbered 1 through 8. What is the probability of spinning a number greater than 5? 

3/8

300

Out of a standard deck of 52 cards, what si the simplified fractional probability of drawing a Face Card (Jack, Queen, or King)? 

12 face cards in total, so 12/52, so 3/13

300

what is the probability of rolling two dice and getting a sum of exactly 7? 

1-6,2-5,3-4,5-2,4-3,6-1 so 6 possible ways so 6/36

300

You flip a coin and roll a standard die. what is the probability of flipping heads and rolling a 4? 

1/12
400

According to the Law of Large Numbers, what happens to your experimental probability the more times you repeat an experiment? 

It gets closer and closer to theoretical probability

400

In a standard deck of 52 playing cards, what is the probability of drawing a heart? 

13/52 or 1/4
400

A word tile contains the letterrs in the word PROBABILITY. what is the probability of picking a vowel? 

OAII so 4/11 
400

You spin a 3 section spinner (red, blue, yellow) and roll a standard die. what is the probability of spinning red and rolling an odd number? 


1/3 x 3/6 =3/18 reduced to 1/6

500

If the probability of an event happening is 3/10, what is the probability of that event NOT happening? 

7/10 or 70%

500

A jar holds red, blue, yellow candies. The probability of picking red is 1/4 and blue is 2/5. What is the probability of picking a yellow candy?

answer is 7/20. Find a common denominator. red 5/20, blue 8/20, so thats 13/20. remainder is 7/20!

500

a bag has 5 cards numbered 1 to 5. you draw a card, put it back, and draw a sescond card. what is the probability that both cards drawn are even numbers? 

2/5 x 2/5 = 4/25

M
e
n
u