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yan [13]
2 years ago
8

There are five Oklahoma State Officials: Governor (G), Lieutenant Governer (L), Secretary of State (S), Attorney General (A), an

d Treasurer (T). Take all possible samples without replacement of size 3 that can be obtained from the population of five officials. (Note, there are 10 possible samples!)
(a) What is the probability that the governor is included in the sample?
(b) What is the probability that the governor and the attorney general are included in the sample?
Mathematics
1 answer:
docker41 [41]2 years ago
8 0

Answer:

a) 0.6

b) 0.3

Step-by-step explanation:

Since we are taking 3 from a sample of 5 without replacements, we would have 5 choices for the first pick, 4 choices for the 2nd pick and 3 choices for the 3rd pick. The total possible number of ways to do this is:

5*4*3 = 60 ways

As order does not matter (GLS is the same as GSL), we divide this by the number of ways the 3 picks can be arrange, which is 3*2*1 = 6

So there are 60/6 = 10 possible samples

(a) If the governor is included in the sample, then we only have 4 choices for the 2nd pick and 3 choices for the 3rd pick. And there are also 2 ways to arrange this.

So there are 4*3/2 = 6 possible samples. The probability of this happening is 6/10 = 0.6

(b) If G and A are included, we only have 3 choices for the last pick. So the probability of this to happen is 3/10 = 0.3

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Step-by-step explanation:

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3 years ago
A firefighter places a 29 feet ladder, so that the base of the ladder is 21 feet from the wall. What is the height at which the
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G = 15 - m/32
IRINA_888 [86]

The value of 32 in the equation will serve as the time taken by the driver to travel

<h3>Functions and values</h3>

If Alice fills up the gas tank of her car before going for a long drive, and the equation that shows the amount of gas in gallons in Alice's car when she has driven m (miles). is given as:

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