Question

A secret code is designed by choosing a letter from the alphabet and then choosing a digit from 0 to 9.

Which equation below correctly represents the probability of choosing the secret code "7Q?"
P(7UQ) = P(7) + P(Q)
P(7UQ) = P(7) P(Q)
P (7nQ) = P(7) + P(Q)
P(7nQ) = P(7) PQ)

Answer 1

Choice 4: P(7∩Q) = P(7) × P(Q)

Explanation in detail:

P(7∩Q) denotes the chance of selecting the secret code "7Q."

If A and B are distinct events, then

P(A∩B) = P(A) × P(B)

Let A be the occurrence of selecting a number between 0 and 9 and

Let B be the occurrence of selecting an alphabet.

A and B are clearly distinct entities.

Therefore,

P(7∩Q) = P(7) × P(Q)

Hope this helps!

Answer 2

Answer:a

Explanation: