Q2 of 30 Marks 1 General Instructions 110% ×CloseTest time left: 58:38Select the correct answerA letter is taken out at random from ‘ASSISTANT’ and another is taken out from “STATISTICS”. The probability that they are the same letters is:OptionsNone19/903/9619/136

To solve this problem, we need to calculate the probability of drawing the same letter from both words.

Step 1: Count the number of letters in each word. 'ASSISTANT' has 9 letters and 'STATISTICS' has 11 letters.

Step 2: Calculate the total number of possible outcomes. This is the product of the number of letters in each word, which is 9*11 = 99.

Step 3: Count the number of each letter in both words. The letters in 'ASSISTANT' are: A(2), S(2), I(1), T(2), N(1). The letters in 'STATISTICS' are: S(3), T(3), A(1), I(2), C(1).

Step 4: Calculate the number of favorable outcomes. This is the sum of the product of the number of each letter in both words. For A: 21 = 2 For S: 23 = 6 For I: 12 = 2 For T: 23 = 6 For N: 10 = 0 (since there is no N in 'STATISTICS') For C: 01 = 0 (since there is no C in 'ASSISTANT') So, the total number of favorable outcomes is 2+6+2+6 = 16.

Step 5: Calculate the probability. The probability is the number of favorable outcomes divided by the total number of possible outcomes, which is 16/99.

So, the correct answer is not in the options provided.