Common Core: 7th Grade Math : Statistics & Probability

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #3 : How To Find The Probability Of An Outcome

What is the probability of drawing a diamond from a regular set of playing cards?

Possible Answers:

Correct answer:

Explanation:

Probability is determined by dividing the number of outcomes of a particular event by the total number of events. In a regular deck of playing cards, there are 52 cards and 13 diamonds.

Example Question #4 : How To Find The Probability Of An Outcome

What is the probability of drawing a red jack from a standard deck of playing cards?

Possible Answers:

Correct answer:

Explanation:

A standard deck contains  cards including jacks, of which are red. Therefore, the probability is:

Example Question #5 : How To Find The Probability Of An Outcome

There are 5 yellow pebbles, 12 orange pebbles, and 8 red pebbles.  What is the probability of picking a red or yellow pebble?

Possible Answers:

Correct answer:

Explanation:

There are 13 yellow and red pebbles.  There are 25 pebbles total.  Therefor the probability of choosing a red or yellow pebble is .

Example Question #2 : Probability

There are 6 red marbles, 4 purple marbles, and 9 green marbles in a bag.  What is the probablility of randomly drawing a green marble?

Possible Answers:

Correct answer:

Explanation:

First we need to determine the total number of marbles in the bag:

\dpi{100} 6+4+9=19\ marbles

There are 9 green marbles, so the probability of drawing one of those 9 marbles out of 19 possible marbles is \dpi{100} \frac{9}{19}.

Example Question #5 : Outcomes

A bag contains red marbles, pink marbles, and purple marbles. What is the probability of not choosing a purple marble?

Possible Answers:

Correct answer:

Explanation:

The probability (p) is equal to the number of a specific event (purple marbles) divided by the total number of events. The probability of NOT p (called q) is equal to In this example:

Example Question #1 : Probability

A bag of marbles contains 8 black marbles, 4 red marbles, 3 blue marbles, and 5 white marbles. What is the probability of not drawing a black marble?

Possible Answers:

Correct answer:

Explanation:

Probability is determined by dividing the possible number of instances of a particular outcome by the total number of possible outcomes. Therefore, we need to find the probability of drawing red, blue, or white divided by the total number of outcomes.

Example Question #6 : How To Find The Probability Of An Outcome

If you meet a random person on the street, what is the probability he or she was born on a weekend?

Possible Answers:

Correct answer:

Explanation:

There are seven days in a week.

The probability that a person you meet was born on any particular day is .

The question asks for the probability that the person you meet was born on a weekend (Saturday or Sunday). Therefore, we must add the probability of being born on either day:

Example Question #781 : Grade 7

There are 4 green marbles, 5 yellow marbles, and 3 red marbles in a bag. If one is picked out of the bag at random, what is the probability that it will be a red marble?

Possible Answers:

Correct answer:

Explanation:

To find probability, you have to consider part over whole. The total number of marbles is 12. Then, identify how many red marbles there are (3). From there, you can make a fraction , which can be simplified to .

Example Question #11 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

A pair of fair dice are thrown. Which of these events has probability  ?

Possible Answers:

The sum of the dice is 5

Both dice show the same number

The sum of the dice is 4.

The sum of the dice is 10

The sum of the dice is divisible by 6

Correct answer:

The sum of the dice is 5

Explanation:

One-ninth of the 36 possible rolls is 4, so we are looking for an outcome that can happen four ways.

There are 6 ways that both dice can show the same number - double 1, double 2, and so forth.

There are 3 ways to roll a sum of 10: (4,6), (5,5), and (6,4).

There are 6 ways to roll a sum divisible by 6: (1,5), (2,4), (3,3), (4,2), and (5,1) all yield 6, and (6,6) yields 12.

There are 4 ways to roll a sum of 5: (1,4), (2,3), (3,2), and (4,1). 

There are 3 ways to roll a sum of 4: (1,3), (2,2), (3,1).

The correct choice is the event that the sum of the dice is 5.

Example Question #71 : Statistics & Probability

Gina has a bag of 12 marbles. The bag is half black marbles and half white marbles. If Gina picks out two random marbles, and both are white, what is the percent chance that the next marble she picks will also be white? 

Possible Answers:

20 percent

60 percent

50 percent

40 percent

Correct answer:

40 percent

Explanation:

Given that in Gina’s bag of 12 marbles, half of them are black and half are white, this means that there are 6 black marbles and 6 white marbles. However, because she already picked out 2 white marbles, this means that there are now only 4 out of 10 white marbles left. 4 out of 10 converts to 40 percent, which is therefore the correct answer. 

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