# A die has two faces each with number '1', three faces each with number ' 2 ' and one face with number '3'. If die is rolled once, determine

(i) P (2) (ii) P (1 or 3) (iii) P (not 3)

**Solution:**

Total number of faces = 6

We know that the probability of an event = (Number of favourable outcomes) / (Total number of events)

**(i)** Number of faces with number '2' = 3

Therefore,

P (2) = 3/6 = 1/2

**(ii)** Since,

P (1 or 3) = P (not 2)

= 1 - P (2)

= 1 - 1/2 (from (i))

= 1/2

**(iii)** Number of faces with number '3' = 1

Therefore,

P (3) = 1/6

Thus,

P (not 3) = 1 - P (3)

= 1 - 1/6

= 5/6

NCERT Solutions Class 11 Maths Chapter 16 Exercise ME Question 3

## A die has two faces each with number '1', three faces each with number ' 2 ' and one face with number '3'. If die is rolled once, determine (i) P (2) (ii) P (1 or 3) (iii) P (not 3)

**Summary:**

A die has two faces each with number '1' , three faces each with number ' 2 ' and one face with number '3'. If die is rolled once, then (i) P(2) = 1/2 (ii) P(1 or 3) = 1/2 (iii) P(not 3) = 5/6

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