### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #51 : How To Find The Probability Of An Outcome

Find the probability of rolling a multiple of 3 on a dice.

**Possible Answers:**

**Correct answer:**

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 #52 : How To Find The Probability Of An Outcome

Find the probability of picking an even number between 1 and 10 (1 and 10 are included).

**Possible Answers:**

**Correct answer:**

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

Now, given the event of picking an even number between 1 and 10, we can determine the following.

because there are 5 even numbers between 1 and 10:

- 2
- 4
- 6
- 8
- 10

Now, we can also determine the following:

because there are 10 different numbers we could potentially pick:

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10

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

Therefore, the probability of picking an even number between 1 and 10 is .

### Example Question #53 : How To Find The Probability Of An Outcome

Find the probability of rolling a factor of 5 on a dice.

**Possible Answers:**

**Correct answer:**

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 #54 : Probability

Find the probability of rolling a multiple of 2 on a dice.

**Possible Answers:**

**Correct answer:**

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 #561 : Data Analysis And Probability

Find the probability of drawing an Ace from a deck of cards.

**Possible Answers:**

**Correct answer:**

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

Now, given the event of drawing an Ace from a deck of cards, we can calculate the following.

because there are 4 Aces in a deck of cards that we could draw:

- Ace of Hearts
- Ace of Diamonds
- Ace of Spades
- Ace of Clubs

Now, we can calculate he following.

because there are 52 total cards within a deck that we could potentially draw.

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

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

### Example Question #54 : How To Find The Probability Of An Outcome

Find the probability of rolling a factor of 2 on a dice.

**Possible Answers:**

**Correct answer:**

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
- 6

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 #57 : Probability

A bag contains the following:

- 3 blue pens
- 2 red pens
- 5 black pens
- 2 pencils

Find the probability of grabbing a pencil out of the bag.

**Possible Answers:**

**Correct answer:**

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

Now, given the event of drawing a pencil out of the bag, we can determine the following:

because there are 2 pencils in the bag.

Now, we can determine the following:

because there are 12 total objects in the bag we could potentially draw:

- 3 blue pens
- 2 red pens
- 5 black pens
- 2 pencils

Now, knowing this, we can substitute into the formula. We get

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

### Example Question #58 : Probability

A classroom contains 8 boys and 12 girls.

Find the probability the teacher calls on a boy.

**Possible Answers:**

**Correct answer:**

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

Now, given the event of the teacher calling on a boy, we can determine the following:

because there are 8 boys in the classroom.

Now, we can determine the following:

because there are 20 total students in the class the teacher could potentially call on:

- 8 boys
- 12 girls

Now, knowing this, we can substitute into the formula. We get

Therefore, the probability of the teacher calling on a boy is .

### Example Question #59 : Probability

A bag contains the following:

- 5 red pens
- 3 blue pens
- 4 black pens

Find the probability of grabbing a blue pen 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 blue pen from the bag, we can calculate the following:

because there are 3 blue pens in the bag.

Now, we can calculate the following:

because there are 12 pens in the bag we could potentially grab:

- 5 red pens
- 3 blue pens
- 4 black pens

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

Therefore, the probability of grabbing a blue pen from the bag is .

### Example Question #60 : Probability

Find the probability of rolling a factor of 6 on a dice.

**Possible Answers:**

**Correct answer:**

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 .