**Finding probability worksheets :**

Worksheet on finding probability is much useful to the students who would like to practice problems on likelihood of an event.

The formula given below can be used to find probability of an event.

1. What is the probability of rolling an even number on a standard number cube ?

2. What is the probability picking a purple marble from a jar with 10 green and 10 purple marbles.

3. What is the probability of rolling a number greater than 4 on a standard number cube ?

**Problem 1 :**

What is the probability of rolling an even number on a standard number cube ?

**Solution : **

**Step 1 :**

Find the sample space for a standard number cube.

There are 6 possible outcomes.

S = {1, 2, 3, 4, 5, 6}

**Step 2 :**

Find the number of ways to roll an even number.

The event can occur 3 ways.

{2, 4, 6}

**Step 3 :**

Find the probability of rolling an even number.

Substitute values and simplify.

P(even) = 3/6

P(even) = 1/2

The probability of rolling an even number is 1/2.

**Problem 2 :**

What is the probability picking a purple marble from a jar with 10 green and 10 purple marbles.

**Solution : **

**Step 1 :**

Find the sample space for a standard number cube.

There are 20 possible outcomes.

10 Green marbles and 10 Purple marbles

**Step 2 :**

Find the number of ways to pick a purple marble.

The event can occur in 10 ways.

Because we have ten purple marbles.

**Step 3 :**

Find the probability of picking a purple marble.

P (purple) = No. of purple marbles / Total no. of marbles

Substitute values and simplify.

P (purple) = 10 / 20

P (purple) = 1/2

The probability of picking a purple marble is 1/2.

**Problem 3 :**

What is the probability of rolling a number greater than 4 on a standard number cube ?

**Solution : **

**Step 1 :**

Find the sample space for a standard number cube.

There are 6 possible outcomes.

S = {1, 2, 3, 4, 5, 6}

**Step 2 :**

Find the number of ways to roll a number greater than 4.

The event can occur 2 ways.

{5, 6}

**Step 3 :**

Find the probability of rolling a number greater than 4.

P ( > 4 ) = No. of numbers > 4 / Total no. of numbers

Substitute values and simplify.

P ( > 4 ) = 2 / 6

P ( > 4 ) = 1/3

The probability of rolling a number greater than 4 is 1/3.

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