Asked Mar 20, 2019

Calculate the probability of rolling a 3 or an even number on a die.


Expert Answer

Step 1

Concept of probability:

Probability deals with the likelihood of occurrence of a given event. The probability value lies between 0 and 1. An event with probability 1 is considered as certain event and an event with probability 0 is considered as an impossible event. The probability of 0.5 infers of having equal odds of occurring and not occurring of an event.

The general formula to obtain probability of an event A is,

P(A) = (number of favorable elements for event A)/(Total number of elements in the sample space).

The basic properties of probability are given below:

Step 2

Find the probability of rolling a number 3 on the die:

Consider event A = rolling a number 3 on the die.

The number of outcomes in a die is n(S) = 6. That is, (1, 2, 3, 4, 5, 6)

The number of outcomes in favor of the event A is n(A) = 1.

The probability of rolling a number 3 on the die is obtained as (1/6) from the calculation given below:

Step 3

Find the probability of rolling an even number on the die:

Consider event B = rolling an even number on the die.

Among the 6 outcomes (1, 2, 3, 4, 5, 6) of the die, the even numbers are (2, 4, 6).

The number of outcomes in f...


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