Theoretical Probability
Probability of Dependent Events
Experimental Probability
Probability of Independent Events
100
A number cube is rolled. Find the probability of rolling a 5. Write your answer as a fraction, a decimal and a percent.
1/6, 0.167, 16.7%
100
A box has 3 black kittens, 2 white kittens and 4 tan kittens. What is the probability that you will first choose a black kitten, don't put it back, then choose a white kitten?
3/9 = 1/3 2/8= 1/4
(1/3)(1/4) = 1/12
100
Out of the past 65 school days, Logan has bought school lunch 5 times. What is the experimental probability that Logan will buy school lunch tomorrow? Answer as a simplified fraction.
5/65 = 1/13
100
A jack is chosen from a deck of 52 cards, and then a dice is rolled. Find P(Ace and 5)
4/52 * 1/6 =
What is 1/78
200
A marble is drawn from a bag. The bag contains 3 blue marbles, 5 white marbles, and 1 green marble. Find the probability of drawing a black marble.
0
200
A box contains 2 red marbles, 3 white marbles, 4 green marbles and 1 blue marble. Two marbles are drawn at random without replacement.
Find the probability of selecting a green marble on the second draw if the first marble is blue.
4/9 There are only 9 marbles left and 4 are green.
200
Xaylie has worn her hair in a pony tail 15 times over the past 50 days. What is the experimental probability that Xaylie will wear her hair in a pony tail tomorrow?
Answer as a simplified fraction.
15/50 = 3/10
200
A card is chosen, and a dice is rolled. Find the probability of the event. P(K and even)
4/52 * 1/2
What is 1/26
300
A spinner is divided into 8 equal sections. Each section is labeled 1 through 8.
Find the probability of spinning a 4 or 6. Write your answer as a fraction, a decimal, and a percent.
1/8 + 1/8 = 2/8 = 1/4
1/4, .25, 25%
300
There are ten cards numbered from 1 to 10 in a box. Cards are well shuffled and drawn at random.
Three cards are drawn without replacement. If the numbers on the first and the second card show 4 and 6 respectively, and the third card is an even number, what is the overall probability?
1/10 x 1/9 x 3/8 =3/720 = 1/240
300
Josh has been late to his piano lesson 6 times over the last 18 lessons. What is the experimental probability that Josh will be ON TIME for his next lesson?
Answer as a simplified fraction.
1 - 6/18 = 12/18
= 2/3
300
A card is chosen, and a dice is rolled. Find the probability of the event. P(Heart and less than 3)
1/4 * 2/6 =2/24 = 1/12
400
A number cube (dice) is rolled. Find the probability of NOT rolling a 3 or 4. Write your answer as a fraction, a decimal, and a percent.
1 - 2/6 = 4/6 = 2/3
2/3, 0.666, 66.6%
400
Larry has 14 chickens. If his chickens, 2 are black, 3 are black, 5 are white, find how many are yellow.
If Larry randomly choosed chickens to take to the state fair and first chooses a black chicken, then a yellow chicken, what is the probability this occurred?
2/14 x 4/13 = 8/182 = 4/91
400
When Mrs. Forbes draws Ridgetop Rocks tickets, she records which grade level they come from. Here is the latest data: 6th grade - 15, 7th grade - 11, 8th grade - 7.
What is the experimental probability that the next Ridgetop Rocks ticket that is drawn will be from the 7th grade?
Answer as a simplified fraction.
15+11+7 = 33
11/33 =
1/3
400
A chip is chosen from a bag that contains 7 red, 15 purple, and 3 blue chips. The chosen chip is then returned to the bag and a 2nd chip is chosen. The 2nd chip is returned to the bag and then a 3rd chip is chosen.
What is the probability of choosing a red, then another red, and then a purple, in that order? Express your answer as a percent, rounded to the nearest tenth.
7/25 * 7/25 * 15/25 = 0.04704
4.7%
500
A number cube (dice) is rolled and a coin is tossed. Find the probability of rolling a multiple of 2 and getting heads. Write your answer as a fraction, a decimal and a percent.
{2,4,6} = 3/6 =1/2
1/2 (multiple of 2) * 1/2 (heads) = 1/4
1/4, 0.25, 25%
500
A box contains 2 red marbles, 3 white marbles, 4 green marbles and 1 blue marble. Two marbles are drawn at random without replacement.
Find the probability of selecting a red or a white on the first draw and a green or a blue marble on the second draw.
5/10 x 5/9 = 25/90 = 5/18
500
Cooper rolls a die 80 times. Here are the results: #1 - 12 times, #2 - 15 times, #3 - 13 times, #4 - 11 times, #5 - 14 times, #6 - 15 times.
What is the experimental probability of rolling a 5? What is the difference from the theoretical probability of rolling a 5?
12+15+13+11+14+15=80
The experimental probability is 14/80= 7/40 or 17.5%. The theoretical probability is 1/6 or 16.7%. The experimental probability was 0.8% higher than the theoretical probability.
500
Sam has a deck of cards with one of each letter, A through Z, on each card. A letter card is chosen from this deck, and a dice is rolled. Find the probability of drawing out a vowel (not including y) and the number 4. Answer as a fraction.
5/26*1/6=
5/156