Two hats are picked at random, what is the probability that all hats are of green colour?

Total number of hats = 6 + 4 + 2 + 4 = 16 Let S be the sample space. Then, n(S) = number of ways of drawing 2 hats out of 16 = ¹⁶C_₂ = (16 × 15)/( 2 × 1) = 120 Let E= event of drawing all the hats are of green colour n(E) = ²C_₂ = 1 ∴ P (E) = (n(E))/(n(S)) = 1/120

The average of 9 numbers is 100. The average of the first 4 numbers is 65 and the average of the last 4 numbers is 40. What is the 5

^{th}number?The average age of 18 children and their teacher's age are 15 years. If the teacher's age is excluded, the average reduces by 2. What is the teacher's age?

The average age of 15 children and their teacher's age are 12 years. If the teacher's age is excluded, the average reduces by 2. What is the teacher's age?

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