**Question 1: **In a game played with tiles with alphabets. If 60 of these tiles have
consonants and 45 with vowels. Find the probability that a player picks 5
consonants and 2 vowels.

** Solution: **

7 tiles can be picked from 105 tiles in C(105, 7) ways.

The number of ways picking 5 consonants = C(60, 5)

The number of ways of picking 2 vowels = C(45, 2)

P(Picking 5 consonants and 2 vowels) = $\frac{C(60, 5).C(45, 2)}{C(105, 7)}$ ≈ 0.2376.

**Question 2: **Events A and B are mutually exclusive and P(A) = 0.11 and P(B) = 0.2.

find P(A or B)

** Solution: **

P(A or B) = P(A) + P(B) Addition law of Probabilities

= 0.11 + 02 = 0.31.