Question

A die is thrown once. What is the probability that the score is a factor of 6?

Answer 1

Heya✋

The answer!!

The factors of 6 in a die : 1,2,3,6

Probability= numbers of trials in which the event occurs/total number of outcomes.

=4/6
=2/3


Therefore the probability of getting a factor of 6 is 2/3.


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Answer 2

Given,

A die is thrown once.

To find,

The probability that the score obtained is a factor of 6.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The probability of occurrence of a favorable event = P (favorable event)

= (Total number of occurrence of the favorable event) / (Total number of occurrence of all possible events)

= (Total number of occurrence of the favorable event) / (Total number of trials)

As per the given question;

The favorable event is the occurrence of a factor of 6, that is 1, 2, 3, and 6, respectively.

=> total number of occurrences of the favorable event = 4 {1,2,3,6}

And, the total number of trials = 6 {1,2,3,4,5,6}

Now,

The probability of getting a factor of 6 when the die is thrown once

= (Total number of occurrence of the favorable event) / (Total number of trials)

= 4/6 = 2/3

Hence, the probability of getting a factor of 6, when the die is thrown once, is equal to 2/3.