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Assume that the student attends math class with probability 0.6, skips accounting class with probability 0.35, and attends both with probability 0.35.

What is the probability that the student attends at least one class on Monday?

2006-09-27 15:21:31 · 6 answers · asked by J R 2 in Science & Mathematics Mathematics

if you could explain it that would be helpful

2006-09-27 15:25:50 · update #1

6 answers

This question must be calculated using the probability that he won't attend a class:
He won't attend Math=0.40
He won't attend Accounting=0.35
He won't attend either=0.40X0.35=0.14
Therefore he WILL attend one or the other or both=
1.00-0.14=0.86, or 86%probability that he will be in at least one class on Monday.

2006-09-27 15:42:23 · answer #1 · answered by Sciencenut 7 · 0 0

The student skips accounting class with probability 0.35 , so he attends accounting class with probability 1-0.35=0.65
P=attending Math class + attending accountig class - the amount that is same
P=0.6+0.65-0.35=0.8

2006-09-27 22:42:27 · answer #2 · answered by Sahar 1 · 0 0

You could draw a Venn diagram to answer that one.
Summary:
0.60 chance of attending math
0.65 chance of attending accounting (1-.35)
0.35 chance of attending both

Now draw a box. Shade 60% in blue, shade 65% in red with 35% overlap. You should be able to see that there is 25% that is just blue, 30% that is just red, 35% that is both red and blue, and 10% that is still white. There is a 90% chance that the student will attend at least one class.

2006-09-27 22:29:02 · answer #3 · answered by Anonymous · 0 0

90%

Draw a Venn Diagram.

Label it M and A and the intersection of M and A will be 35%

This leaves 25% to be just M since 25% + 35% = 60%

This also leaves 30% to be just A since 65% attend accounting, minus those who attend M and A (35%)

25% + 35% + 30% = 90%

2006-09-27 22:35:18 · answer #4 · answered by J G 4 · 1 0

.4333 or 43%

2006-09-27 22:24:11 · answer #5 · answered by John C 2 · 0 1

50.3%

2006-09-27 22:29:04 · answer #6 · answered by sumrtanman 5 · 0 1

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