Question

A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing a 4 or a number less than 3?

Answer 1

Answer:

Step-by-step explanation:

The probability is

P

(

A

)

=

1

3

Explanation:

To calculate the probability you have to count the number of all possible results

|

Ω

|

and the number of results that fulfill the given condition

|

A

|

.

In this case

Ω

=

{

1

,

2

,

3

,

4

,

5

,

6

}

Thereare 6 possible result of a dice toss. So

|

Ω

|

=

6

The given condition is "the result is divisible by

3

", so

A

=

{

3

,

6

}

- those are the only numbers divisible by

3

, so

|

A

|

=

2

.

Finally to calculate the probability we have to divide

|

A

|

by

|

Ω

|

.

P

(

A

)

=

|

A

|

|

Ω

|

=

2

6

=

1

3

Note The probability is never larger than

1

, so if you get such result then there must be a mistake in calculations.

Answer 2

Answer:50% chance

Step-by-step explanation: There are 3 out of six numbers 3/6 equals 0.5 or 50%