An urn contains two blue balls (denoted B1 and B2) and three white balls (denoted W1, W2, and W3). One ball is drawn from the ur
n, its color recorded, and is replaced. Another ball is then drawn and its color recorded.Let B1W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all 25 possible outcomes of the experiment on a sheet of paper.(a)Consider the event that the first ball that is drawn is blue. Count all the outcomes in this event.What is the total?Incorrect: Your answer is incorrect.What is the probability of the event?Incorrect: Your answer is incorrect.(b)Consider the event that only white balls are drawn. Count all the outcomes in this event.What is the total?Correct: Your answer is correct.What is the probability of the event?
1 answer:
Answer:
Step-by-step explanation:
An urn contains two blue balls (denoted ) and three white balls (denoted
).
In the selection, a ball is picked and replaced.
From the attached probability tree, the possible outcomes are:
(a)If the first ball drawn is blue
Number of Outcomes =10
The probability that the first ball drawn is blue
(b)If only white balls are drawn
Number of Outcomes =9
Probability that only white balls are drawn
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Answer:
- 0.83
- 0.9
- steeper than
- slower than
Step-by-step explanation:
Letting t=1 in Ted's equation, we find that he climbs 5/6 stairs in 1 second. As a decimal, 5/6 ≈ 0.83.
Michael climbs 9 stairs in 10 seconds so his rate is ...
... (9 stairs)/(10 seconds) = (9/10) stairs/second = 0.9 stairs/second
Michael's graph will be a line with a slope of 0.9; Ted's graph will be a line with a slope of about 0.83, so the line on Michael's graph is steeper.
Ted climbs fewer stairs per second, so his rate is slower than Michael's.
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<em>Comment on the problem</em>
You're being asked to compare two different rates that are associated with two different people. First the comparison is one way, then it is the other way. This can be confusing. It might be helpful to draw and label a simple chart to help you keep it straight. (The attachment is such a chart scribbled on a bit of scratch paper. It is sufficient for the purpose.)
