Simple Probability
Anything Goes
Mutually Exclusive
Independent Events
Dependent Events
100
A bag contains four green gumballs, three blue gumballs, and two red gumballs, all the same size and shape. If you reach into the bag and pull out a gumball at random, what color are you most likely to get?
Answer: A green marble
100
Write a fraction with a denominator of 35 that is equivalent to 5/7.
Answer: 25/35
One must multiply the top and bottom by 5 to get this equivalent fraction.
100
What is the likelihood as a percent of flipping either heads or tails when tossing a single coin?
Answer: 100%
100
TRUE OR FALSE: When calculating the compound probability of two independent events, the first event changes the outcome of the second event.
Answer: FALSE
100
TRUE OR FALSE: When calculating the compound probability of two dependent events, the probabilities of the single events must be added together.
Answer: FALSE
200
A bag contains 5 red marbles, 5 blue marbles, 6 green marbles, 8 purple marbles, and 1 white marble. One is selected at random. Find the probability of selecting a green marble as a fraction in its lowest terms.
Answer: 6/25
200
What is the probability as a fraction in lowest terms of drawing the 3 of diamonds out of a deck of cards?
Answer: 1/52
200
In the given spinner, what is more likely: Landing on an even number or landing on a number greater than 4?
Answer: The probabilities are the same, 1/2
200
A number cube is rolled and the spinner up front is spun. What is the probability of getting a 2 and landing a green triangle?
Answer: 1/48
P(2) = 1/6
P(green triangle) = 1/8
P(2 and green triangle) = 1/6 X ⅛ = 1/48
200
A card is drawn from a standard deck of cards, and is not returned after each drawing. Find the probability as a fraction of drawing a 7 and a spade.
Answer: 1/52
P(7)=4/52=1/13
P(spade)=13/52
P(7 and spade)=1/13 x 13/52 = 1/52 (cross cancel)
300
A bag contains 5 red marbles, 5 blue marbles, 6 green marbles, 8 purple marbles, and 1 white marble. One is selected at random. Find the probability of selecting a red marble as a percent.
Answer: 20%
(5/25=1/5=.20 X100 =20%)
300
A bag contains four green gumballs, three blue gumballs, and two red gumballs, all the same size and shape. If you reach into the bag and pull out a gumball at random, what is the probability as a fraction in lowest terms of NOT getting red?
Answer: 7/9
P(not red)=7/9
Total marbles =9
300
There are 36 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine. Sharee wants to get a white or green gumball. What is the probability as a fraction in simplest form of getting a white or green gumball?
Answer: 29/51
58/102 = 29/51
36 +22 +30 +14 = 102 AND 22 +36 =58
P(white)=22/102
P(green)=36/102
P(white or green)= 22/102 +36/102=58/102
300
A die is rolled and a coin is tossed, find the probability as a fraction in lowest terms that the die shows an odd number and the coin shows a head.
Answer: 1/4
P(die odd)=3/6= 1/2
P(heads) = 1/2
P(die odd and heads) = ½ x ½ =1/4
300
There are 4 yellow marbles, 3 purple marbles, 1 green marble, and 1 white marble in a bag. Once a marble is drawn, it is NOT replaced. Find the probability of drawing a purple, then a green marble. Answer must be given as a simplest fraction.
Answer: 1/24
P(purple) = 3/9 =1/3
P(green) = 1/8
P(purple and then green)= ⅓ X 1/8 = 1/24
400
Marcia just bought a game that came with the spinner below. On each turn, the player rolls a die and then spins the spinner. The spinner determines if the player actually gets to move. What is the probability of losing your turn as a fraction, an exact decimal, and as percent rounded to the nearest tenth? All three answers must be correct.
Answers: ⅓, .3 repeating, 33.3%
400
Monica made the following line plot for the first 20 cars that drove past her school. Each x represents one car.
Based on this data, what is the probability as a percent rounded to the nearest whole number that the next car will NOT be green?
Answer is 90%
18/20 = 9/10 = 0.90 X 100 --> 90%
400
Observe the spinner at the front. What is the likelihood of NOT landing on a blue berry, nor a red vegetable or fruit? Provide the answer as a fraction.
Answer: 5/8
400
There are 4 yellow marbles, 3 purple marbles, 1 green marble, and 1 white marble in a bag. Once a marble is drawn, it is replaced. Find the probability of drawing a purple, then a green marble. Answer must be given as a simplest fraction.
Answer: 1/27
P(purple) = 3/9 =1/3
P(green) = 1/9
P(purple and then green)= ⅓ X 1/9 = 1/27
400
Look at the chart on the whiteboard. What two fractions would you multiply to find the probability of getting B1 then O60, one right after the other assuming the first tile is not placed back into the cage.
Answer: One would multiply 1/60 by 1/59
P(B1)=1/60
P(O60)=1/59
500
Monica made the following line plot for the first 20 cars that drove past her school. Each x represents one car.
Based on this data, what is the probability as a fraction in simplest form that the next car will be white?
Answer = 1/4
5 white cars out of 20 cars = 5/20 =1/4
500
The blood groups of 200 people is distributed as follows: 50 have type A blood, 65 have B blood type, 70 have O blood type and 15 have type AB blood. If a person from this group is selected at random, what is the probability as a percent that this person has O blood type?
70/200 =7/20 =35/100 =35%
500
Given the following spinner, what is the percent chance of getting a 2, 7 or 8? Round your final answer to the nearest tenths place.
Answer: 37.5%
⅜ = .375 X100 = 37.5%
500
There are 2 green marbles, 7 blue marbles, 3 white marbles, and 4 purple marbles in a bag. Once a marble is drawn, it is placed back. What is the likelihood of taking out three purple marbles in a row?
Answer: 1/64
16 total marbles
P(purple)=4/16=1/4
P(purple 3x in a row)=¼ X ¼ X ¼ =1/64
500
Look at the letters in the word MATHEMATICAL. If these letters were placed in a hat, what would be the probability of drawing a vowel and then, without replacing the vowel, drawing a consonant? Provide your answer as a fraction in simplest form.
Answer: 35/132
P(vowel)=5/12
P(consonant)=7/11
P(vowel, then consonant)=5/12 X 7/11 =35/132