t 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:Options3/9619/13619/90None

The problem involves finding the probability of drawing the same letter from two different words. Here are the steps to solve it:

1. First, count the number of letters in each word. 'ASSISTANT' has 9 letters and 'STATISTICS' has 10 letters.

2. Next, count the number of each unique letter in each word. In 'ASSISTANT', there are 2 'S', 2 'A', 1 'I', 1 'T', 1 'N'. In 'STATISTICS', there are 3 'S', 3 'T', 2 'I', 1 'A', 1 'C'.

3. The probability of drawing the same letter from both words is the sum of the probabilities of drawing each letter. This can be calculated as follows:

   • The probability of drawing 'S' from both words is (2/9) * (3/10) = 6/90
   • The probability of drawing 'A' from both words is (2/9) * (1/10) = 2/90
   • The probability of drawing 'I' from both words is (1/9) * (2/10) = 2/90
   • The probability of drawing 'T' from both words is (1/9) * (3/10) = 3/90

4. Add these probabilities together to get the total probability: 6/90 + 2/90 + 2/90 + 3/90 = 13/90

So, the correct answer is None of the given options.