Question

Number of events in the sample space when a dice is rolled 10 time is ...... ​

Answer 1

Answer:

The probability of an event is how often it is expected to occur. It is the ratio of the size of the event space to the size of the sample space.

First, you need to determine the size of the sample space. The size of the sample space is the total number of possible outcomes. For example, when you roll 1 die, the sample space is 1, 2, 3, 4, 5, or 6. So the size of the sample space is 6.

Then you need to determine the size of the event space. The event space is the number of outcomes in the event you are interested in. The event space for rolling a number less than three is 1 or 2. So the size of the event space is 2.

For equally likely outcomes, the probability of an event E can be written P(E).

Example

Problem

A game requires rolling a six-sided die numbered from 1 to 6. What is the probability of rolling an even number?

Sample space = {1, 2, 3, 4, 5, 6}

Event space = {2, 4, 6}

First, find the sample space and the event space. The sample space is all the possible outcomes, and the event space is the outcomes in the event. In this case, the event is “rolling an even number.”

Since the outcomes are equally likely, the probability of the event is the ratio of event space to sample space.

Answer

P(even number) =