CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A fair die is rolled once, which of the following statement(s) is(are) true?

A
Outcome of an even number is an even chance event.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Outcome of an even number is an unlikely event.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Outcome of a number greater than two is a likely event.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Outcome of a number greater than two is an unlikely event.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C Outcome of a number greater than two is a likely event.
Let's list the probabilities of different types of events:
Given:–––––––
A fair die is rolled once
Sample Space={1, 2, 3, 4, 5, 6}
Total number of possible outcomes =6

Now, let's find the probability of each of the given options one-by-one:

As in first option, outcome is an even number,
Favorable outcomes ={2, 4, 6}
Number of favorable outcomes =3

Probaility(Even)=Number of favorable outcomesTotal number of possible outcomes

Probaility(Even)=36

Probaility(Even)=33×2

Probaility(Even)=12=0.5

As we can see, Probaility(Even)=0.5, outcome of an even number for the given experiment is a even chance event.
––––––––––––––––––––––––––––––––––––––––

In third option, outcome is greater than two,
Favorable outcome ={3, 4, 5, 6}
Number of favorable outcome =4

Probability{>2}=Number of favorable outcomeTotal number of possible outcomes

Probability{>2}=46

Probability{>2}=2×23×2=23

0.5<23<1

0.5<Probability{>2}<1

As we can see, 0.5<Probability{>2}<1, outcome of a number greater than two for the given experiment is a likely event.

flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image