14 questions
Recall! -62 - (-29) = ____
-62 - 29
-62 + 29
62 - 29
62 + 29
Recall! 16 + (-92) = ____
76
108
-76
Recall! -526 + (-20) = ____
536
546
-536
-546
What does it mean to be mutually exclusive?
The probability of the first event affects the probability of the second event.
Two events cannot occur at the same time.
The probability of the first event does not affect the probability of the second event.
What does it mean to be independent?
The probability of the first event affects the probability of the second event.
Two events cannot occur at the same time.
The probability of the first event does not affect the probability of the second event.
A letter is selected at random from the words LIFE and FUN. **On the test, you would draw a tree diagram, so please do so.** Find the probability that both letters are consonants from the selected letters.
<If you are stuck, ask me for the tree diagram.>
2/6
1/3
1/6
What does it mean to be equally likely? Check all that apply.
All outcomes have the same chance / probability of happening.
There are the same number of each outcome.
Each outcome has an equal chance of occurring.
Why should everything be equal? I'm in the kid in the sandbox who doesn't share. 😁
Mutually exclusive or independent?
Grace and Mia are running a race, fighting for first place.
Mutually exclusive because only one person can win the race.
Independent because both girls can win the race.
In a race Grace, Mia, and George have a 0.15, 0.32, and 0.25 chance of winning first place. Find the probability that one of them wins. *Tree diagrams are encouraged!*
0.72
0.15
0.32
0.25
0.57
In a race Grace, Mia, and George have a 0.15, 0.32, and 0.25 chance of winning first place. Find the probability that none of them wins.
0.72
1
0.32
0.28
Marq has 6 blue shirts and 7 red shirts. Jay has 2 blue shirts and 3 red shirts. Each of them selects a shirt at random from their closets. Find the probability that the two shirts chosen are one red shirt and one blue shirt.
Mutually exclusive or independent?
Mutually exclusive because we cannot choose a blue shirt and a red shirt at the same time.
Independent because Marq's choice does not affect Jay's choice.
Marq has 6 blue shirts and 7 red shirts. Jay has 2 blue shirts and 3 red shirts. Each of them selects a shirt at random from their closets. Find the probability that the two shirts chosen are one red shirt and one blue shirt. *Tree diagram is strongly encouraged!*
<Ask me if you are stuck on the tree diagram.>
18/65
32/65
14/65
33/65
In a hospital research study, the researchers found that the probability of a patient being diagnosed with cancer is 0.23. Three random people are currently being diagnosed. Find the probability that all 3 patients have cancer.
Mutually exclusive or independent?
Mutually exclusive since all 3 patients cannot have cancer at the same time.
Independent since the probability that of one patient having cancer does not affect the probability of another patient having cancer.
In a hospital research study, the researchers found that the probability of a patient being diagnosed with cancer is 0.23. Three random people are currently being diagnosed. Find the probability that all 3 patients have cancer. *Tree diagrams are encouraged!*
<Ask me for help if you are stuck!>
0.23 x 0.77 = 0.1771
0.77 x 0.77 x 0.77 = 0.456533
0.23 x 0.23 x 0.23 = 0.012167