(d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that it is necessary to examine at least six bulbs? 0.0317

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A box in a certain supply room contains six 40-W lightbulbs, three 60-W bulbs, and seven 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.)
(a) What is the probability that exactly two of the selected bulbs are rated 75-W?
0.3375
(b) What is the probability that all three of the selected bulbs have the same rating?
0.1000
(c) What is the probability that one bulb of each type is selected?
0.2250
(d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that it is necessary to examine at least six bulbs?
0.0317
Transcribed Image Text:A box in a certain supply room contains six 40-W lightbulbs, three 60-W bulbs, and seven 75-W bulbs. Suppose that three bulbs are randomly selected. (Round your answers to four decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 75-W? 0.3375 (b) What is the probability that all three of the selected bulbs have the same rating? 0.1000 (c) What is the probability that one bulb of each type is selected? 0.2250 (d) Suppose now that bulbs are to be selected one by one until a 75-W bulb is found. What is the probability that it is necessary to examine at least six bulbs? 0.0317
Expert Solution
Step 1

Here given,

There are 6 40-w Bulbs

There are 3 60-w bulbs

There are 7 75-w bulbs 

So Total 16 bulbs

And it is without replacement model 

Here O = other than 75 w bulbs  (total 9 bulbs)

 

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