Vocabulary
The probability of what should happen using known outcomes.
Theoretical Probability
A bag contains 6 red marbles, 7 white marbles, 3 black marbles, and 4 green marbles. What is the probability of drawing a red marble?
6/20 or 3/10
During math class, a spinner is spun 40 times. It lands on blue 12 times. What is the experimental probability of landing on blue? ( Write your answer as a fraction in simplest form.)
12/40 or 3/10
If the probability of an event is 1/2, how would you describe the likelihood of the event?
Equally Likely
The probability of drawing a green marble is 4/20. If you draw 20 marbles ( with replacement), how many green marbles would you expect to draw?
4/20 or 1/5
The probability is based on data that actually happened.
Experimental Probability
A bag contains 6 red marbles, 7 white marbles, 3 black marbles, and 4 green marbles. What is the probability of drawing a white marble?
7/20
A bag contains red and yellow marbles. Students draw a marble, record the color, and replace it.
After 60 trials, red was drawn 27 times.
What is the experimental probability of drawing a red marble? ( Write your answer as a fraction and as a percent.)
27/60 or 9/20
If the probability of an event is 0.8, is the event likely, unlikely, certain, or impossible?
Likely
The probability of drawing a green marble is 4/20. If you draw 50 marbles (with replacement), how many green marbles would you expect to draw?
10 green
An event with probability 0 is called?
Impossible
A bag contains 6 red marbles, 7 white marbles, 3 black marbles, and 4 green marbles. What is the probability of NOT drawing a black marble?
17/20
A coin is flipped 50 times. It lands on heads 32 times.
1. What is the experimental probability of heads?
2. Is this greater than or less than the theoretical probability of heads?
Explain your reason.
1. 32/ 50 or 16/25
2. Greater Than ~ because if there are two faces of a coin. That means half of 50 is 25. Therefore, theoretically speaking, the chance is 0.50. Which is the experiemnetal is greater because it equals 64.
If the probability of an event is 0.05, how would you describe the likelihood of the event?
Unlikely
A spinner has 6 equal sections labeled 1 through 6. What is the probability of spinning a 6? Write your answer as a fraction and a percent.
1/6 and 17%
An event with probability 1 is called?
Certain
A bag contains 6 red marbles, 7 white marbles, 3 black marbles, and 4 green marbles. What is the probability of drawing either a red marble OR a green marble?
6 + 4= 10 -> 10/20 =1/2
A group of students rolls a number cube 90 times. The number 4 appears 11 times.
1. What is the experimental probability of rolling a 4?
2. Is the experimental probability greater than or less than the theoretical probability?
1. 11/90
2. Less than
A bag contains no blue marbles. What is the probability of drawing blue marbles? What word describes this event?
Immposible
The probability of drawing a red marble is 2/5. If you perform 100 trials, how many red marbles should you expect?
40 marbles
When theoretical probability and experimental probability are close in value, this is because of the____?
Law of Large Numbers
A bag contains 6 red marbles, 7 white marbles, 3 black marbles, and 4 green marbles. What is the probability of drawing a black marble OR white marble?
3 + 7 = 10 -> 10/20 = 1/2
A school carnival game involves spinning a wheel. The wheel is spun 120 times. The results are:
*46 Red
*38 Blue
* 21 Green
* 15 Yellow
1. What is the experimental probability of landing on green?
2. Which color had the highest experimental probability?
1. 21/120 or 7/40
2. Red
A spinner has 16 equal sections. Two sections say "Win". Describe the likelihood of landing on WIN and why.
It is 2/16 or 1/8, which is 12.5%. Therefor,e it is unlikely to win.
A bag contains 12 blue marbles and 8 yellow marbles.
1. What is the probability of drawing a blue marble?
2. If you draw 200 times( with replacement), how many blue marbles would you expect?
1. 12/20 or 3/5
2. 120 blue marbles