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# Represent and Determine Probability Questions - All Grades

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Grade 7 Represent and Determine Probability CCSS: 7.SP.C.5
Probability can be expressed as a
1. fraction.
2. decimal.
3. percent.
4. all of these
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.7, 7.SP.C.7a
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.5
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.8, 7.SP.C.8a
A fair coin will be flipped 3 times. What is the probability that the coin will land on tails exactly once?
1. $1/8$
2. $1/3$
3. $3/8$
4. $5/8$
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.5
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.8, 7.SP.C.8b
The set of all possible outcomes in a probability experiment.
1. Choices
2. Probability
3. Sample space
4. Outcome arrangements
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.7, 7.SP.C.7a
Which scenario for the spinner has the following probability of occurring?
$P(?) = 2/3$

1. The spinner lands on a number less than 2.
2. The spinner lands on a number less than 4.
3. The spinner lands on a number greater than 2.
4. The spinner lands on a number greater than 4.
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.3
Aaron is given the following situation. There are 35 students in a class, 7 of which have a 90+ grade average. He chooses two students at random, one after the other. Let choosing a student with a 90+ grade average be event A, and choosing a student with an average below a 90 be event L. He wants to know whether these events are independent or dependent. Which is it, and why? Choose all correct answers.
1. The events are dependent. After the first student has been chosen, there are fewer students, and so the probability of choosing the second student will be different than if the second student had been chosen from the full group of students.
2. The events are dependent. Since $P(L) = 4/5$, $P(L|A) = 14/17$, and these are not equal, the events are dependent.
3. The events are dependent. $P(A " then " L) = 3/85$ and $P(A) * P(L) = 4/25$. Since these are not equal, the events are not independent, and must be dependent.
4. The events are independent. Because choosing the first student as a 90+ average student doesn't change the number of students with an average below 90, the probability will remain the same regardless of the first event.
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.3
Adam has a bag of ten marbles, of which 3 are green, 3 are blue, and 4 are red. He also has a regular six-sided die. He lets choosing a blue marble be event A, and throwing a 5 or 6 when rolling the die be event B. Which of the following statements are correct? There may be more than one correct answer.
1. P(A) = P(A|B), since events A and B are independent.
2. P(A and B) = 0.1, since A and B are independent.
3. P(A|B) = P(B|A), since events are independent.
4. P(A|B), P(B|A) cannot be determined since not enough information has been given to determine P(A and B).
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