ISEE Middle Level Math : Data Analysis and Probability

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

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Example Question #42 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

In a dice game, what is the probability of rolling a factor of 4 on a six-sided die?

Possible Answers:

Correct answer:

Explanation:

To find the probability of an event, we will use the following formula:

 

So, in the event of rolling a factor of 4 on a dice, we can determine the number of times that event can happen.  So,

because there are 3 factors of 4 on a dice:

  • 1
  • 2
  • 4

 

Now, we can determine the total number of possible outcomes.  We get

because there are 6 different outcomes we can get when rolling the dice:

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6

 

Knowing all of this, we can substitute into the formula.  We get

and we simplify.

 

Therefore, the probability of rolling a factor of 4 on a dice is .

Example Question #571 : Data Analysis And Probability

In a dice game, what is the probability of rolling an odd number on a six-sided die?

Possible Answers:

Correct answer:

Explanation:

To find the probability of an event, we will use the following formula:

 

So, in the event of rolling an odd number on a dice, we can determine the number of times that event can happen.  So,

because there are 3 odd numbers on a dice:

  • 1
  • 3
  • 5

 

Now, we can determine the total number of possible outcomes.  We get

because there are 6 different outcomes we can get when rolling the dice:

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6

 

Knowing all of this, we can substitute into the formula.  We get

and we simplify.

 

Therefore, the probability of rolling an odd number on a dice is .

Example Question #572 : Data Analysis And Probability

In a dice game, what is the probability of rolling an even number on one roll of a six-sided die?

Possible Answers:

Correct answer:

Explanation:

To find the probability of an event, we will use the following formula:

 

So, if we look at the event of rolling an even number on a dice, we can determine the following:

because there are 3 ways we can roll an even number on a dice:

  • 2
  • 4
  • 6

because there are 6 possible numbers we can roll:

  • 1
  • 2
  • 3
  • 4
  • 5

Knowing all of this, we can substitute into the formula.  We get

Now, we simplify.

 

Therefore, the probability of rolling an even number on a dice is .

Example Question #821 : Grade 7

 

 

In a dice game, what is the probability of rolling a multiple of 3 on a six-sided die?

Possible Answers:

Correct answer:

Explanation:

To find the probability of an event, we will use the following formula:

 

Now, given the event of rolling a multiple of 3 on a dice, we can determine the following.

because there are 2 multiples of 3 on a dice:

  • 3
  • 6

Now, we can also determine the following:

because there are 6 different numbers we could potentially roll:

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6

Knowing this, we can substitute into the formula.  We get

 

Therefore, the probability of rolling a multiple of 3 on a dice is 

Example Question #571 : Data Analysis And Probability

In a dice game, what is the probability of rolling a factor of 5 on a six-sided die?

Possible Answers:

Correct answer:

Explanation:

To find the probability of an event, we will use the following formula:

 

Now, given the event of rolling a factor of 5, we can calculate the following.

because there are 2 factors of 5 on a dice:

  • 1
  • 5

We can also calculate the following.

because there are 6 different possible numbers we can roll on a dice:

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6

Knowing this, we can substitute into the formula.  We get

 

Therefore, the probability of rolling a factor of 5 on a dice is .

Example Question #572 : Data Analysis And Probability

In a dice game, what is the probability of rolling a multiple of 2 on a six-sided die?

Possible Answers:

Correct answer:

Explanation:

To find the probability of an event, we will use the following formula:

 

Now, given the event of rolling a multiple of 2, we can calculate the following.

because there are 3 multiples of 2 on a dice:

  • 2
  • 4
  • 6

We can also calculate the following.

because there are 6 different possible numbers we can roll on a dice:

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6

Knowing this, we can substitute into the formula.  We get

 

Therefore, the probability of rolling a multiple of 2 on a dice is .

Example Question #573 : Data Analysis And Probability

In a dice game, what is the probability of rolling a factor of 2 on a six-sided die?

Possible Answers:

Correct answer:

Explanation:

To find the probability of an event, we will use the following formula:

 

Now, given the event of rolling a factor of 2 on a dice, we can calculate the following.

because there are 2 factors of 2 on a dice:

  • 1
  • 2

Now, we can calculate he following.

because there are 6 possible numbers we could potentially roll on a dice:

  • 1
  • 2
  • 3
  • 4
  • 5

 

Knowing this, we can substitute into the formula.  We get

 

Therefore, the probability of rolling a factor of 2 on a dice is .

Example Question #54 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

In a dice game, what is the probability of rolling a factor of 6 on a six-sided die?

Possible Answers:

Correct answer:

Explanation:

To find the probability of an event, we will use the following formula:

 

Now, given the event of rolling a factor of 6 on a dice, we can calculate the following:

because there are 4 factors of 6 on a dice:

  • 1
  • 2
  • 3
  • 6

 

Now, we can calculate the following:

because there are 6 possible outcomes we could potentially get when rolling a dice:

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6

 

Knowing this, we can substitute into the formula.  We get

 

Therefore, the probability of rolling a factor of 6 on a dice is .

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