Question
The probability that Joanne has eggs for breakfast and goes to school by car is 0.4. The probability that she goes to school by car on any day is 0.5.
What is the probability that Joanne has had eggs for breakfast if she went to school by car?
Answer options with 5 options
A.
0.1
B.
0.2
C.
0.4
D.
0.5
E.
0.8
What is the probability that Joanne has had eggs for breakfast if she went to school by car?
Answer options with 5 options
A.
0.1
B.
0.2
C.
0.4
D.
0.5
E.
0.8
Answers
GPT 3.5
B. 0.2
Explanation:
P(Joanne has eggs for breakfast and goes to school by car) = P(Joanne has eggs for breakfast | she goes to school by car) * P(she goes to school by car)
We know that P(Joanne has eggs for breakfast and goes to school by car) = 0.4 and P(she goes to school by car) = 0.5
Therefore, P(Joanne has eggs for breakfast | she goes to school by car) = P(Joanne has eggs for breakfast and goes to school by car) / P(she goes to school by car) = 0.4 / 0.5 = 0.8
Therefore, the probability that Joanne has had eggs for breakfast if she went to school by car is 0.2.
Explanation:
P(Joanne has eggs for breakfast and goes to school by car) = P(Joanne has eggs for breakfast | she goes to school by car) * P(she goes to school by car)
We know that P(Joanne has eggs for breakfast and goes to school by car) = 0.4 and P(she goes to school by car) = 0.5
Therefore, P(Joanne has eggs for breakfast | she goes to school by car) = P(Joanne has eggs for breakfast and goes to school by car) / P(she goes to school by car) = 0.4 / 0.5 = 0.8
Therefore, the probability that Joanne has had eggs for breakfast if she went to school by car is 0.2.