### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #55 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

Find the probability that we draw a 4 of Hearts from a deck of cards.

**Possible Answers:**

**Correct answer:**

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

So, given the event of drawing a 4 of Hearts, we can calculate the following:

Because there is only one 4 of Hearts in a deck of cards.

Now, we can calculate the following:

Because there are 52 cards we could potentially draw from a deck of cards.

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

Therefore, the probability of drawing a 4 of Hearts from a deck of cards is .

### Example Question #56 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

A bag contains the following:

- 5 pens
- 6 pencils
- 7 markers

Find the probability of drawing a pencil from the bag.

**Possible Answers:**

**Correct answer:**

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

So, given the event of drawing a pencil from the bag, we can calculate the following:

Because there are 6 pencils in the bag.

Now, we can calculate the following:

Because there are 18 total items in the bag:

- 5 pens
- 6 pencils
- 7 markers

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

Therefore, the probability of drawing a pencil from the bag is .

### Example Question #121 : Statistics & Probability

A bag contains the following:

- 10 red pens
- 15 black pens
- 5 blue pens

Find the probability of drawing a black pen.

**Possible Answers:**

**Correct answer:**

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

So, given the event of drawing a black pen from the bag, we can calculate the following:

Because there are 15 black pens in the bag.

Now, we can calculate the following:

Because there are 30 total items in the bag to choose from:

- 10 red pens
- 15 black pens
- 5 blue pens

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

Therefore, the probability of drawing a black pen from the bag is .

### Example Question #122 : Statistics & Probability

Find the probability of drawing a 3 from a deck of cards.

**Possible Answers:**

**Correct answer:**

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

So, given the event of drawing a 3 from a deck of cards, we can calculate the following:

Beause there are four 3s we could draw from a deck of cards

- 3 of hearts
- 3 of diamonds
- 3 of clubs
- 3 of spades

Now we can calculate the following:

Because there are 52 cards in the deck we could potentially draw.

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

### Example Question #54 : Probability

A bag contains the following:

- 8 red crayons
- 7 blue crayons
- 4 green crayons
- 5 yellow crayons

Find the probability you grab a green crayon from the bag.

**Possible Answers:**

**Correct answer:**

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

Now, given the event of grabbing a green crayon from the bag, we can calculate the following:

Because there are 4 green crayons in the bag.

We can also calculate the following:

Because there are 24 total crayons we could potentially grab from the bag.

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

Therefore, the probability of grabbing a green crayon is .

### Example Question #123 : Statistics & Probability

A classroom contains the following:

- 24 girls
- 32 boys

Find the probability the teacher calls on a girl.

**Possible Answers:**

**Correct answer:**

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

Now, given the event of calling on a girl, we can determine:

because there are 24 girls in the class the teacher could call on.

We can determine:

because there are 56 total students in the class the teacher could potentially call on:

- 24 girls
- 32 boys

Now, we can substitute into the formula. We get

Therefore, the probability the teacher calls on a girl is .

### Example Question #55 : Probability

Find the probability of drawing a 7 from a deck of cards.

**Possible Answers:**

**Correct answer:**

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

So, given the event of drawing a 7 from a deck of cards we can calculate the following:

because there are four ways we can draw a 7 from the deck:

- 7 of clubs
- 7 of spades
- 7 of hearts
- 7 of diamonds

Now, we can calculate the following:

because there are 52 cards we could potentially draw from a deck of cards.

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

Therefore, the probability of drawing a 7 from a deck of cards is .

### Example Question #561 : Data Analysis And Probability

Find the probability of drawing a heart from a deck of cards.

**Possible Answers:**

**Correct answer:**

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

So, given the event of drawing heart, we can calculate the following:

because there are 13 ways we can draw a heart:

- Ace
- Two
- Three
- Four
- Five
- Six
- Seven
- Eight
- Nine
- Ten
- Jack
- Queen
- King

Now, we can calculate the following:

because there are 52 cards we could potentially draw from a deck of cards.

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

Therefore, the probability of drawing a heart from a deck of cards is .

### Example Question #831 : Grade 7

A box contains the following:

- 9 blue crayons
- 3 green crayons
- 4 red crayons
- 1 yellow crayon

Find the probability of grabbing a red crayon from the box.

**Possible Answers:**

**Correct answer:**

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

Now, given the event of grabbing a red crayon from the box, we can calculate:

because there are 4 red crayons in the box we could grab.

We can also calculate:

because there are 17 total crayons we could potentially grab:

- 9 blue crayons
- 3 green crayons
- 4 red crayons
- 1 yellow crayon

So, we get

Therefore, the probability of grabbing a red crayon from the box is .

### Example Question #562 : Data Analysis And Probability

Find the probability that we draw a 5 from a deck of cards.

**Possible Answers:**

**Correct answer:**

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

So, given the event of drawing a 5, we can calculate the following:

because there are 4 ways we can draw a 5 from a deck:

- 5 of clubs
- 5 of spades
- 5 of hearts
- 5 of diamonds

Now, we can calculate the following:

because there are 52 cards we could potentially draw from a deck of cards.

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

Therefore, the probability of drawing a 5 from a deck of cards is .

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