Simple Probability
Tree diagrams
Experimental and Theoretical
Proportions
Independent and dependent
100
A jar contains 100 marbles. 30 are red, 20 are black, 5 are green and the rest are white. If Xavier picks a marble from the jar at random, what is the probability that the marble is black or green? Write your answer as a fraction, decimal, and percent.
30/100 = 0.3 = 30%
100
Vincent spins a spinner twice. What are the possible outcome? How many total outcomes are there?
RR, RG, RY
GR, GG, GY
YR, YG, YY
9
100
24 seventh grade students were surveyed on their favorite hobby. Use the graph to determine what is the probability that a students favorite hobby is roller skating?
1/8
100
On a youth soccer team, 3 out of 12 team members have played in previous years. Based on this information, if 144 kids are in the youth soccer league, then how many could be expected to have played the year before?
36 kids
100
Arisyn has a coin and a number cube. He flips the coin and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on a 4?
1/12
200
A jar contains 100 marbles. 30 are red, 20 are black, 5 are green and the rest are white. If Sophia picks a marble from the jar at random, what is the probability that the marble is not red? Write your answer as a fraction, decimal, and percent.
9/20 = 0.45 = 45%
200
A family has 3 children. What are the possible outcomes of boys and girls they could have? How many total possibilities are there?
8 possible outcomes
BBB , BBG , BGB , BGG , GBB , GBG , GGB , GGG
200
A spinner marked with four sections blue, green, yellow, and red was spun 100 times. The results are in the table. What is the theoretical probability of landing on green? What is the experimental probability of landing on green?
Theoretical:
1/4
Experimental:
1/10
200
A day of the week is chose at random 40 times. The results are in the table. Based on the experiment, If a day is chosen 150 times how many times would you expect a day that starts with the letter T.
37.5 or 38
200
There are ten marbles in a bag. Three are green, two are yellow, and five are blue. If you draw a marble, don't replace it, and then draw another, what is the probability of choosing two yellow marbles?
1/45
300
The numbers 1-10 are placed in a bag. If TJ picks a number from the bag what is the probability the of the number is between 2 and 7? Write your answer as a fraction, decimal, and percent.
4/10 = 2/5 = 0.4 = 40%
300
For breakfast, Mason can choose from cereal, eggs, or a muffin. He can also drink coffee, orange juice, or milk. What are the possible outcomes? How many total outcomes are there?
Cereal coffee, Cereal OJ, Cereal Milk
Eggs coffee, Eggs OJ, Eggs Milk
Muffin coffee, Muffin OJ, Muffin Milk
9 possible outcomes
300
A survey was conducted to determine students' favorite brands of sneakers.
Each student chose only one brand from the list of brands A, B, C, D, or E.
What is the experimental probability that a student's favorite sneaker was brand D?
26/90 = 13/45
300
A small deck of cards has 4 kings, 3 queens, 2 jacks, and 1 ace. Zach chooses one card a random 75 times and records his results in the table. Based on Zach's experiment, how many times would you expect to draw an ace out of 200 draws?
32
300
A dice is rolled twice. What is the probability that the first roll is a 2 or a 3 and the second roll is an even number?
1/6
400
Megan rolls a dice, what is the probability she rolled a number greater then 3. Write your answer as a fraction, decimal, and percent.
1/2 = 0.5 = 50%
400
Ava flips a coin and rolls a dice. What are the possible outcomes? How many total outcomes are there?
H1,H2,H3,H4,H5,H6
T1,T2,T3,T4,T5,T6
12 total outcomes
400
A letter in the word ACCEL is chosen 50 times. The results are in the table below. What is the theoretical probability of choosing C? What is the experimental probability of choosing a C?
Experimental:
12/50 = 6/25
Theoretical :
2/5
400
On the subway, 8 out of 11 people are carrying a brief case. Based on this information, if there are 700 people on the subway, then about how many do not have a briefcase?
about 191 people
400
Miguel places the letters SCHOOL in a bag. What is the probability of him choosing the letter H, not replacing it, and then choosing the letter O?
1/15
500
Al spins a spinner, What is the probability that red is not spun? Write it as a fraction, decimal, and percent.
7/8 = 0.875 = 87.5%
500
Keigan tosses a coin 3 times. What is the probability she flips exactly 1 tails.
3/8 = 0.375 = 37.5%
500
The spinner below is spun 10 times. If the experimental probability of landing on a 3 is 1/2, then what is the difference between the experimental and theoretical probabilities?
1/6
500
A container of beads contains 8 red beans, 7 yellow beads, and 6 green beads. A bead will drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red bead is drawn?
about 40
500
Kaitlyn takes two pieces of fruit for a snack. What is the probability that she chooses two pieces of fruit that are not bananas?
7/12