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1. The document contains 5 problems involving calculating probabilities from given information. The first problem gives the number of balls of different colors in a bag and calculates the probability of drawing a ball of a given color. The second problem provides data on batches produced in a pilot plant and calculates probabilities about the batches' attributes. The third problem calculates the probability of rolling a 7 with two dice. The fourth converts odds ratios to decimal probabilities. The fifth problem calculates probabilities related to randomly selecting nuts from a mixed group.

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Alexander P Belka
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411 views3 pages

Aaaaaaaaaaaaaaaaaaaaaaaaaa

1. The document contains 5 problems involving calculating probabilities from given information. The first problem gives the number of balls of different colors in a bag and calculates the probability of drawing a ball of a given color. The second problem provides data on batches produced in a pilot plant and calculates probabilities about the batches' attributes. The third problem calculates the probability of rolling a 7 with two dice. The fourth converts odds ratios to decimal probabilities. The fifth problem calculates probabilities related to randomly selecting nuts from a mixed group.

Uploaded by

Alexander P Belka
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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1. Abag contains 6 red balls, 5 yellow balls and 3 green balls.

A ball
is drawn at random. What is the probability that the ball is: (a)
green, (b) not yellow, (c) red or yellow?
GIVEN:
RED = 6
YELLOW = 5
GREEN = 3
TOTAL = 14

SOLUTIONS:
GREEN Not YELLOW RED or
YELLOW

2. Apilot plant has produced metallurgical batches which are summarized


as follows:
Low strength High strength
Low in impurities 2 27
High in impurities 12 4

If these results are representative of full-scale production, find


estimated probabilities that a production batch will be:
i) low in impurities
ii) high strength
iii) both high in impurities and high strength
iv) both high in impurities and low strength
SOLUTIONS:
i) iii)

ii) iii)
3. If the numbers of dots on the upward faces of two standard six-sided
dice give the score for that throw, what is the probability of making a
score of 7 in one throw of a pair of fair dice?
SOLUTION:

6
 0.167
36

4. In each of the following cases determine a decimal value for the


probability of the event:
a) the fair odds against a successful oil well are 10-to-1.
b) the fair odds that a bid will succeed are 1-to-6.

SOLUTIONS:

a) b)

5. Two nuts having U.S. coarse threads and three nuts having U.S. fine
threads are mixed accidentally with four nuts having metric threads.
The nuts are otherwise identical. A nut is chosen at random.
a) What is the probability it has U.S. coarse threads?
b) What is the probability that its threads are not metric?
c) If the first nut has U.S. coarse threads, what is the
probability that a second nut chosen at random has metric threads?
d) If you are repairing a car engine and accidentally replace one
type of nut with another when you put the engine back together,
very briefly, what may be the consequences?
GIVEN:
U.S. coarse threads = 2
U.S. fine threads = 3
Metric threads = 4
TOTAL = 9

SOLUTIONS:

a) b) c)

d)The other nut might get damage and also the engine might get broken.

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