Calculate Probability
What goes in the denominator when you are calculating probability?
total number of outcomes
What is the event in which the outcome of the first event affects the outcome of the second event so that the probability is changed?
Dependent Event
There are 11 red pencils, 11 blue pencils, and 3 green pencils. Describe the likelihood that the pencil is yellow.
0/25, impossible
What is the difference between theoretical and experimental probability?
Experimental probability is the result of an experiment. Theoretical probability is what is expected to happen.
The results of an experiment.
Outcomes
Calculate the probability of rolling an odd number on a dice.
3/6 or 1/2, 50%
Independent or dependent: You flip heads on one coin and tails on another coin.
Independent
There are 11 red pencils, 11 blue pencils, and 3 green pencils. Compare the likelihood of drawing a red pencil to the likelihood of drawing a blue pencil from the box. Explain your reasoning.
Both have the probability of 11/25. They have the same probability to be picked because they have the same amount of pencils in the box.
You toss two dimes 24 times and record the results. Head and head: 4 times. Head and tail: 15. Tail and tail: 5.
What was the experimental probability of tossing two tails?
5/24
_________ are not effected by previous events.
Independent events
There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. What is the probability of selecting a blue or red marble on the first draw?
9/14
A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marbles are selected at random, one at a time. What is the probability of selecting a white marble, replacing it, and then selecting a blue marble?
6/100 or 3/50
The probability that it rains during the hurricane is 1. Describe the likelihood of this happening.
Certain/definite
You toss two dimes 24 times and record the results. Head and head: 4 times. Head and tail: 15. Tail and tail: 5.
What is the experimental probability of not tossing two heads.
20/24 or 5/6
How do you caculate probability? What is the numerator and denominator stand for?
the number of wanted outcomes/
the number of all possible outcomes
There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the probability that first is green and second is red.
35/132
A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marbles are selected at random, one at a time. Find the probability of selecting a red marble, not replacing it, and then a second red marble.
6/90 or 1/15
There is an 80% chance of having pizza tomorrow for dinner. Describe the likelihood of this event.
Likely or more likely
You toss two dimes 24 times and record the results. Head and head: 4 times. Head and tail: 15. Tail and tail: 5.
What is the experimental probability of tossing all heads or all tails?
9/24 or 3/8
This is a rule used to count the total number of possible outcomes in a situation
Fundamental Counting Principle
Use the fundamental counting principle: A license plate must contain two letters following by four digits. How many license plates are possible?
6,760,000 possible plates
Your drawer contains 6 black socks and 8 white socks. You randomly choose two socks without putting any back. What is the probability that both socks are black?
30/182 or 15/91
The bus arrives late 2/7 (29%) of the time. Describe the likelihood of this event.
Unlikely or less unlikely
A factory produces 90 pairs of designer jeans. An inspector randomly chooses 6 pairs of jeans and discovers that one pair of jeans is defective.
What is the experimental probability that a pair of jeans will be defective?
1/6
Explain the difference between independent and dependent events.
An independent event is an event in which the outcome isn't affected by another event. A dependent event is affected by the outcome of a second event.