How likely is it?
In theory...
Let's experiment!
Independent
Dependent
100
There is a 100% chance of rain today. How likely is it to rain?
a. unlikely
b. neither likely nor unlikely
c. likely
d. certain
d. certain
100
A coin is flipped. What is the theoretical probability of landing on heads?
1/2 = 0.5 = 50%
100
In an experiment, a coin was flipped 20 times. It landed on heads 12 times. Is the observed frequency greater than or less than the theoretical probability of landing on heads?
Observed: 12/20 = 0.6
Expected: 1/2 = 0.5
Greater than
100
Two coins are flipped. What is the probability of getting heads then tails?
1/2 * 1/2 = 1/4
1/4
100
A cup contains 6 colored pencils: red, orange, yellow, green, blue, purple. What is the probability of picking a yellow, then a blue colored pencil if the pencils are not replaced after each pick?
1/6 * 1/5 = 1/30
200
There is a 1/2 chance that you land on tails when you flip a coin. How likely is it?
a. unlikely
b. neither likely nor unlikely
c. likely
d. certain
b. neither likely nor unlikely
200
A number cube is rolled. What is the theoretical probability of landing on a 2 or 4?
2/6 = 0.33 = 33%
200
A spinner with 6 sections is shown. In an experiment, Joe spun the spinner 50 times. He landed on:
Green: 5 times
Purple: 12 times
Red: 9 times
Yellow: 8 times
Orange: 11 times
Blue: 5 times.
Based on the results, what is the probability of landing on orange on the next spin?
11/50 = 0.22 = 22%
200
A number cube is rolled and a coin is flipped. What is the probability of rolling a 2 or 6 and getting a heads?
2/6 * 1/2 = 2/12
1/6
200
Sharon's closet contains 2 pairs of sandals, 1 pair of tennis shoes, and 4 pairs of flip flops. What is the probability of choosing a pair of sandals and then tennis shoes, without replacement?
2/7 * 1/6 = 2/42
1/21
300
How likely is it to land on a 6 when you roll a number cube?
a. impossible
b. unlikely
c. likely
d. certain
1/6 = 0.17
b. unlikely
300
A coin is flipped 500 times. About how many times should the coin land on tails?
1/2 - 0.5
0.5 x 500 = 250
250
300
A bag contains 50 Skittles: 10 red, 10 purple, 10 green, 10 orange, and 10 yellow. Jamar picks 11 Skittles from the bag, replacing the Skittle after each pick. He chose:
2 red; 3 green; 1 purple; 5 orange; and 0 yellow.
Which color Skittle has an experimental probability closest to its theoretical probability?
Red: 2/11 = 0.18
Green: 3/11 = 0.25
Purple: 1/11 = 0.9
Orange: 5/11 = 0.45
Yellow: 0/11 = 0
Expected: 10/50 = 0.2
300
A school is randomly packing lunches. Each lunch gets a sandwich, side, and drink. The sandwich options are PB&J or turkey. The side options are chips, carrots, or an apple. The drink options are milk, water, or apple juice. What is the probability of getting a lunch with a PB&J and water?
1/2 * 1/3 = 1/6
300
A bag contains 4 red marbles, 3 blue marbles, and 8 yellow marbles. What is the probability of choosing 2 blue marbles in a row, without replacement?
3/15 * 2/14 = 6/210
1/35
400
There is a 7/15 chance of rain. About how likely is it to rain?
a. impossible
b. unlikely
c. neither likely nor unlikely
d. likely
c. neither likely nor unlikely
400
If a number cube is rolled 30 times, about how many times should it land on 5?
6
400
On Wednesday, 3 out of the 12 teachers at the track meet were wearing school shirts. If 20 teachers plan to go to the track meet next Wednesday, about how many can you expect to be wearing school shirts?
3/12 = 0.25
0.25 x 20 = 5
5
400
A school is randomly packing lunches. Each lunch gets a sandwich, side, and drink. The sandwich options are PB&J or turkey. The side options are chips, carrots, or an apple. The drink options are milk, water, or apple juice. What is the probability of getting a lunch with a turkey sandwich, carrots or chips, and apple juice?
1/2 * 2/3 * 1/3 = 2/18
1/9
400
A box contains 4 red pens, 1 blue pen, 8 green pens, and 3 purple pens. If 4 pens are chosen without replacement, what are the possible outcomes? Select all that apply.
a. Only one blue pen is chosen.
b. One of each color is chosen.
c. More blue pens are chosen than the other colored pens.
d. Exactly 3 purple pens are chosen
e. All of the pens chosen are blue.
a. Only one blue pen is chosen.
b. One of each color is chosen.
c. More blue pens are chosen than the other colored pens.
d. Exactly 3 purple pens are chosen
e. All of the pens chosen are blue.
500
Last week, about 75 students out of 977 were caught in the tardy sweep. How likely is it to be caught in the tardy sweep?
a. impossible
b. unlikely
c. likely
d. certain
b. unlikely
500
A bag contains 12 red marbles, 13 purple marbles, 8 yellow marbles, and 17 green marbles. What is the probability of choosing a yellow marble from the bag at random?
8/50 = 0.16 = 16%
500
Last year, 57,000 students applied to Florida State University (Go 'Noles). Of those, 6,200 were accepted and decided to attend FSU. If 60,000 students apply next year, about how many could you expect to be accepted and decide to attend?
6200/57000 ~~ 0.10877
0.10877 * 60000 ~~ 6526
500
A school is randomly packing lunches. Each lunch gets a sandwich, side, and drink. The sandwich options are PB&J or turkey. The side options are chips, carrots, or an apple. The drink options are milk, water, or apple juice. What is the probability that the lunch does not include milk?
2/3 = 0.67 = 67%
500
A box contains 100 marbles. Each color (red, orange, yellow, blue) has the same amount of marbles. What is the probability of choosing a red, then a yellow, then a red marble, without replacement?
25/100 * 25/99 * 24/98
= 1/4 * 25/99 * 12/49
=300/19,404 = 0.015 = 1.5%