Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false questions. The english quiz has 4 multiple choice questions.
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Answer:
C) English
Step-by-step explanation:
I don't really know how to explain it, so I'll show you instead.
For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
So,
0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016
For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
So,
0.25 x 0.25 x 0.25 x 0.25 = 0.004
They will have to study English (0.004) because it is lower than science (0.016).
The quiz he should study is; English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
We are told that for science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
Thus;
P(6) = 0.5⁶ = 0.016
We are told that for English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
Thus; P(4) = 0.25⁴ = 0.004
Thus, we conclude that they will have to study English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
Read more about Probability at; https://brainly.com/question/251701
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