A dice is thrown once. The probability of getting a number which
(i) A prime number
(ii) A number lying between 2 and 6.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

0.5

0.6

0.7

0.8

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The number of possible outcomes when a dice is thrown = 6
Since, a dice is a cube which is number 1, 2, 3, 4, 5, 6 on its 6 faces.
2, 3, 5 are the prime numbers among the numbers obtained when a dice is thrown.
Thus, the number of outcomes of getting a prime number when a dice is thrown = 3.
The probability of getting a prime number when a dice is thrown = Ratio of the number of outcomes of number between 2 and 6 prime number when a dice is thrown to the number of possible outcomes when a dice is thrown

∴ The probability of getting a prime number when a dice is thrown

= \frac{1}{2} = 0.5

3,4,5 are the numbers between 2 and 6 which can be obtained when a dice is thrown.
Thus, the number of outcomes of getting a number between 2 and 6 when a dice is thrown = 3.
The probability of getting a number between 2 and 6 when a dice is thrown = Ratio of the number of outcomes of getting a number between 2 and 6 when a dice is thrown to the number of possible outcomes when a dice is thrown