Probability
A bag contains 5 red marbles and 3 blue marbles.
What is the probability of randomly selecting a blue marble?
5/8
A coin is flipped twice in a row.
List the complete sample space.
S={HH,HT,TH,TT}
A coin is flipped 50 times and lands on heads 28 times.
a) What is the experimental probability of landing on heads?
b) What is the theoretical probability of landing on heads?
EP: 28/50
TP: 25/50
A fair six-sided die is rolled.
What is the probability of rolling a number greater than 4?
2/6 or 1/3
A coin is flipped and a six-sided die is rolled.
List the complete sample space.
S={(H,1),(H,2),(H,3),(H,4),(H,5),(H,6),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}
A six-sided die is rolled 60 times. The number 4 appears 8 times.
a) What is the experimental probability of rolling a 4?
b) What is the theoretical probability of rolling a 4?
EP: 8/60
TP: 10/60
A coin is flipped and a six-sided die is rolled.
What is the probability of getting heads and rolling a 5?
1/12
A spinner has 4 equal sections labelled A, B, C, and D. The spinner is spun once and a coin is flipped once.
List the sample space and determine the total number of outcomes.
S={(A,H),(A,T),(B,H),(B,T),(C,H),(C,T),(D,H),(D,T)}
8 outcomes total
A bag contains 5 red, 3 blue, and 2 green marbles.
A marble is drawn, recorded, and replaced 100 times. Red marbles are selected 47 times.
a) What is the experimental probability of selecting a red marble?
b) What is the theoretical probability of selecting a red marble?
EP: 47/100
TP: 50/100
A spinner has 4 equal sections: Red, Blue, Green, and Yellow.
The spinner is spun twice.
What is the probability of landing on Red and then Green or Blue?
2/16 or 1/8
A restaurant offers:
A customer chooses one item from each category.
How many different meal combinations are possible?
120
A spinner has 8 equal sections numbered 1 to 8.
After 200 spins, the spinner landed on 5 a total of 31 times.
a) What is the theoretical probability of landing on 5?
b) What is the experimental probability of landing on 5?
TP: 25/200
EP: 31/200
A box contains 4 red, 3 blue, and 2 green marbles.
Two marbles are selected without replacement.
What is the probability that both marbles are red?
12/72 or 1/6
John has 2 spinners and each has the digits from 0-9. He wants to come up with a random 2 digit number by spinning them both.
How many different outcomes would contain the number 9?
19
Two six-sided dice are rolled 180 times.
a) What is the theoretical probability of rolling a sum of 7?
b) How many times would you theoretically expect a sum of 7 to occur in 180 rolls?
TP: 6/36 or 1/6
b) 1/6 of 180 is 30. So we would expect a sum of 7, 30 times