Download Theoretical Probability and Simulations

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Theoretical Probability and Simulations
1. Omar has a bag with 10 white marbles, 20 black marbles, 30 red marbles,
and 40 blue marbles. Omar chooses a marble from the bag without looking.
A. What color is most likely to be chosen?
B. What color is least likely to be chosen?
C. What is a color that is impossible to be chosen?
2. Jimmy randomly selects a number from the numbers shown below. What is
the probability that the number he selects is an even number?
48, 51, 24, 32, 2, 90, 15, 5, 60
3. Kima selects a marble at random from a box that contains 15 red, 15 yellow, and 20
blue marbles.
4.
A.
What is the probability that she does not select a red marble?
B.
What is the probability that she selects a red or yellow marble?
Buster’s Simulation Results
Trial
Numbers
Numbers
Trial
Generated
Generated
1
1, 1, 2, 5
6
4, 5, 2, 5
2
5, 4, 2, 5
7
3, 4, 3, 2
3
2, 3, 4, 5
8
4, 5, 2, 1
4
2, 3, 5, 3
9
5, 5, 5, 2
5
3, 4, 4, 3
10
2, 3, 4, 4
Buster used a simulation to predict the
number of days of snow in his town.
A number 1 indicates a day in which it
snowed. Numbers 2, 3, 4, or 5 indicate a day
in which it did not snow. The results of the
simulation are shown. What is the
experimental probability that it will snow in
Buster’s town in at least 1 of the next 4 days?
5. Jeff rolls a number cube that has sides labeled 1 to 6 and then flips a coin.
A.
What is the probability that he rolls a 1 or a 2 and flips heads?
B.
What is the probability that he rolls an odd number and flips tails?
6. What is the probability of flipping a coin twice and it landing on tails both times?
7. What is the probability of flipping a coin 3 times and it landing on tails all 3 times?
8. What is the probability of flipping a coin 4 times and it landing on tails all 4 times?
9. April spins a spinner with five equally-sized regions and flips a coin. How
many outcomes are possible?
10. Andy rolls a number cube with 6 sides and flips a coin. How many outcomes
are possible?
11. Ann flips 3 quarters. How many outcomes are possible?
12. A box contains 10 red, 15 yellow, and 25 blue marbles. Jenna selects 1 marble
from the box 300 times. How many times can she expect to draw a blue marble?
13. A standard number cube has 6 sides labeled 1 to 6. Kenneth rolls a standard
number cube 30 times. How many times can he expect to roll a 1 or 2?
14. Liz randomly selects a number from the numbers shown below. What is the
probability that the number she selects is an even number?
4, 16, 13, 75, 88, 42, 10, 50
15. Jack selects a marble at random from a box that contains 12 red, 38 yellow, and 50
blue marbles.
A.
What is the probability that he does not select a yellow marble?
B.
What is the probability that he selects a yellow or blue marble?
16. Tom spins a spinner with four equally-sized regions and rolls a number cube
with 6 sides. How many outcomes are possible?
Tobias’ Simulation Results
17.
Trial
18.
19.
Numbers
Numbers
Trial
Generated
Generated
1
1, 2, 3, 4
6
4, 5, 4, 5
2
4, 4, 5, 5
7
3, 2, 2, 5
3
2, 3, 4, 5
8
1, 2, 2, 1
4
1, 2, 4, 4
9
4, 5, 2, 4
5
3, 5, 4, 5
10
1, 3, 2, 1
Tobias used a simulation to predict the
number of days it will reach 90°F in his town.
A number 1, 2, or 3 indicates a day in which
it reaches 90°F. Numbers 4 or 5 indicate a
day in which it does not reach 90°F. The
results of the simulation are shown. What is
the experimental probability that it will reach
90°F in Tobias’ town in at least 1 of the next
4 days?
Larry rolls a number cube that has sides labeled 1 to 6 and then flips a coin.
A.
What is the probability that he rolls a 5 and flips heads?
B.
What is the probability that he rolls a number less than 4 and flips tails?
A standard number cube has 6 sides labeled 1 to 6. Hazel rolls a standard
number cube 30 times. How many times can she expect to roll an odd number?
20. A box contains 10 red, 15 yellow, and 25 blue marbles. Tracy selects 1 marble from
the box 500 times. How many times can he expect to draw a red marble?