Probability (basic and Intermediate) Graded Quiz
1. What additional statement, added to the three below, forms a probability distribution?
I did not miss my first or second class today.
2. My friend takes 10 cards at random from a 52-card deck, and places them in a box. Then he puts the other 42 cards in a second, identical box. He hands me one of the two boxes and asks me to draw out the top card. What is the probability that the first card I draw will be the Ace of Spades?
1/52
3. I will go sailing today if it does not rain. Are the following two statements Independent or dependent?
Dependent
4. The probability that I will go sailing today AND the fair six-sided die will come up even on the next roll is 3
If these events are independent, what is the probability that I will go sailing today?
.6
.
. 0.625
6. What is the probability, when drawing 5 cards from a fair 52-card deck, of drawing a "full house'' (three of a kind and a pair) in the form AAABB?
0.001440576
7. If it rains, I do not go sailing. It rains of days; I go sailing of days.
If it does not rain, what is the (conditional) probability that I go sailing?
Written "p(I go sailing | it does not rain)''?
3.333%
8. I am at my office AND not working of the time. I am at my office of the time. What is the conditional probability that I am not working, if I am at my office?
20%
9. The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its precision ball bearing production is on Tuesday, on Wednesday, on Thursday, on Monday, and on Friday.
The Company manufactures an equal amount of ball bearings () on each weekday. What is the probability that a defective ball bearing was manufactured on a Friday?
37.5
10. An Urn contains two white marbles and one black marble. A marble is drawn from the Urn without replacement and put aside without my seeing it. Then a second marble is drawn, and it is white.
What is the probability that the unknown removed marble is white, and what is the probability that it is black?
p(the first marble is white/ the second marble is white) =0.3333
p(the first marble is black/ the second marble is black) =0.667
11.What is the probability, if I flip a fair coin with heads and tails ten times in a row, that I get at least 8 heads
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