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A secret code is designed by choosing a letter from the alphabet and then choosing a digit from 0-9. which equation below correctly represents the probability of choosing the secret code “7Q” according to the picture?

A secret code is designed by choosing a letter from the alphabet and then choosing a digit from 09 which equation below correctly represents the probability of class=

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JannetPalos

Answer:

Option 4: P(7∩Q) = P(7) × P(Q)

Step-by-step explanation:

P(7∩Q) represents the probability of choosing the secret code "7Q".

If A and B are independent events, then,

P(A∩B) = P(A) × P(B)

Let A be the event of choosing a number from 0-9 and

B be the event of choosing an alphabet.

Clearly, A and B are independent.

Therefore,

P(7∩Q) = P(7) × P(Q)

ankitprmr2

This is the only option that correctly represents the probability of choosing the secret code “7Q” according to the picture. Thus, option (D) is correct.

Event - 1: Choosing a letter from the alphabet that is Q.

Let us assume the probability of happening of event 1 is P(Q).

Event - 2: Choosing a digit from 0-9 that is 7.

Let us assume the probability of happening of event 1 is P(7).

Now, we need to choosing the secret code that is 7Q.

We need to multiply both events to get the desired result.

Thus,

[tex]P(7 \cap Q)=P(7) \times P(Q)[/tex]

This is the only option that correctly represents the probability of choosing the secret code “7Q” according to the picture.

To know more about it, please refer to the link:

https://brainly.com/question/17015302

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