Reference no: EM1311486
Question 1: A Sears warehouse receives a shipment of 600 telephones of the same model. The 600 boxes are labeled 1, 2, 3... 600. The quality control inspector at the warehouse wishes to test 6 telephones. She uses the table of random digits to choose a single pair of digits at random from all the possible pairs 00, 01... 99. It happens that she chooses the pair 86. She then inspects all the phones whose labels end in the chosen pair of digits. In this case, she will inspect the phones with labels 86, 186, 286, 386, 486, and 586. The chance that the phone labeled 341 would be one of those chosen wa:
A) 1 in 600 (or 1/600)
B) 6 in 100 (or 6/100)
C) 1 in 100 (or 1/100)
D) 1 in 6 (or 1/6)
Question 2: The casino game craps is based on rolling two dice. Here is the assignment of probabilities to the sum of the numbers on the up faces when two dice are rolled:
|
Outcome
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2
|
3
|
4
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5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
|
1/36
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2/36
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3/36
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4/36
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5/36
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6/36
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5/36
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4/36
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3/36
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2/36
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1/36
|
|
Gigi has rolled a natural on four straight tosses of the dice. This excites the gamblers standing around the table. They should know that:
A) Gigi has a hot hand, so she is more likely to roll another natural.
B) the law of averages says that Gigi is now less likely to roll another natural.
C) rolls are independent, so the chance of rolling another natural has not changed.
D) four straight naturals are almost impossible, so the dice are probably loaded.
E) they should not be surprised because the probability of four straight naturals is 2/36.