Answer:
3.33
Step-by-step explanation:
Independent events:
If two events, A and B, are independent, we have that:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
In this question, we have that:
The question are independent of each other.
Event A: Correct guess on the first question.
Event B: Correct guess on the second question.
A quick quiz consists of a multiple-choice question with 6 possible answers followed by a multiple-choice question with 5 possible answers.
This means that [tex]P(A) = \frac{1}{6}, P(B) = \frac{1}{5}[/tex]
Probability that both responses are correct.
[tex]P(A \cap B) = \frac{1}{6}*\frac{1}{5} = \frac{1}{30} = 0.333[/tex]
The answer is 3.33%. Since it asks without the "%" symbol, 3.33
