Experimental Probability
Sample Space
Predictions
Simulations
Theoretical Probability
100
What is 2/9 as a decimal and percent?
0.2222
22.2%
100
What is the sample space for flipping two coins?
{HH, HT, TH, TT}
100
One game of bowling consists of 10 frames. Elyse usually rolls 3 strikes in a game. Predict the number of strikes Elyse will throw in 18 games.
54
100
Which of the following probabilities mean the event is MOST Likely to happen?
a. 50%. b. 20%. c. 35%. d. 85%
D. 85%
100
What is the theoretical probability of getting heads when flipping a coin?
1/2 or 0.5 or 50%
200
A coin was flipped 65 times. Tails was recorded 28 times. What is the experimental probability of flipping a tails?
28/65
.4307
43.07%
200
What is the sample space for flipping one coin and rolling one number cube?
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
200
A ski lodge inspects 80 skis and finds 4 to be defective. Predict the number of skis that are likely to be defective if the lodge has 420 skis.
21
200
A cereal company is giving away a prize in each box of cereal and they advertise “Collect all 6 prizes”. Each box has 1 prize and the prizes are equally likely to appear in any given box. Describe how you can do a simulation with random numbers to determine on average how many boxes of cereal it would take to get all 6 prizes
Use the numbers 1-6 to represent the different prizes. One trial is done after all 6 numbers have appeared.
200
What is the theoretical probability of rolling a 3 on a standard number cube?
1/6 or .167 or 16.7%
300
A standard number cube was rolled 25 times. The number 3 came up 6 times. What is the experimental probability of rolling a 3?
6/25
.24
24%
300
A club is trying to decide when to meet. They can either meet Thursday or Friday at 2, 3 or 4pm. What is the sample space?
{T2, T3, T4, F2, F3, F4}
300
During a 24 hour period, a radio station played 60 rap songs and 75 pop songs. Predict the number of pop songs that will be played out of the next 90 songs.
50
300
When you roll 2 dice, what is the probability of rolling a sum that is even or a sum of 5?
11/18 or .61111 or 61.1%
300
What is the theoretical probability of rolling an odd number on a standard number cube?
1/2 or 0.5 or 50%
400
Mary received 35 emails of which 5 were junk emails. What is the experimental probability of receiving a junk email?
1/7
0.143
14.3%
400
A spinner has red, blue and green on it. What is the sample space for spinning the spinner and flipping a coin?
{RH, RT, BH, BT, GH, GT}
400
A pair of dice was rolled 50 times. A sum of 6 appeared 12 times. Use the experimental probability to predict how many times a sum of 6 will appear in the next 30 rolls.
approximately 7
400
A baseball player gets a hit 50% of the time. Explain how you could simulate the probability of getting a hit at the next at bat by using a coin
Pick one side of the coin to represent getting a hit and the other side of the coin to represent not getting a hit.
400
What is the theoretical probability of drawing a card that is a diamond out of a standard deck of cards?
1/4 or .25 or 25%
500
The table shows the results of a dice roll. What is the probability of rolling a number greater than 3?
3/7
0.429
42.9%
500
A sandwich shop offers three different types of sandwiches, ham, turkey and chicken. The toppings they offer are Mayo, Lettuce and Tomato. If each customer can only choose one topping for their sandwich, what is the sample space for combinations of sandwiches.
{HM, HL, HT, TM, TL, TT, CM, CL, CT}
500
The U.S. Census bureau estimates that 6% of Florida's population is under the age of 5. If you take a random sample of 700 Florida residents, how many can you predict to be under 5?
42
500
McDonalds has 6 different toys that it gives out in its happy meals. If each toy is equally likely to appear in any given happy meal, explain how you could use a dice to determine on average how many happy meals it would take to get all 6 toys.
Assign each number on the dice to a different toy. Roll the dice. Once all numbers have appeared at least once the trial is over
500
What is the theoretical probability of drawing an ace out of a standard deck of cards?
1/13 or .077 or 7.7%