Explanation:
There are 10 possible outcomes for the digit (0-9) and 26 possible outcomes for the letter (A-Z). Since the choices are independent, the probability of selecting a 6 as the digit and a consonant as the letter is the product of the probabilities of each event occurring separately.
There are 21 consonants in the English alphabet, so the probability of selecting a consonant is 21/26. The probability of selecting a 6 is 1/10.
Therefore, the probability of selecting a 6 and a consonant is:
P(6 and consonant) = P(6) × P(consonant)
= 1/10 × 21/26
= 21/260
= 3/40
Hence, the probability that the number is 6 and the letter is a consonant is 3/40.