Question

A letter of the alphabet is chosen, then a digit from 1-9 is chosen. Find the probability of getting X, then a prime number.

Answer 1

There are 26 letters in the alphabet, and 9 digits from 1 to 9.

The probability of choosing X as the letter is 1/26, since there is only one X in the alphabet.

The probability of choosing a prime number digit is 4/9, since there are 4 prime numbers among the digits 1-9 (2, 3, 5, and 7) and 9 total digits.

Therefore, the probability of choosing X followed by a prime number digit is:

P(X and prime) = P(X) × P(prime) = (1/26) × (4/9) = 4/234

So the probability of getting X followed by a prime number is 4/234, or approximately 0.017 or 1.7%.