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christinavelez26
12.03.2021 •
Mathematics
Assume a jar has five red marbles and three black marbles. Draw out two marbles with and without replacement. Find the requested probabilities. (Enter the probabilities as fractions.) (a) P(two red marbles) with replacement without replacement (b) P(two black marbles) with replacement without replacement (c) P(one red and one black marble) with replacement without replacement (d) P(red on the first draw and black on the second draw) with replacement without replacement
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Ответ:
For probabilities with replacement
For probabilities without replacement
Step-by-step explanation:
Given
For probabilities with replacement
(a) P(2 Red)
This is calculated as:
So, we have:
(b) P(2 Black)
This is calculated as:
So, we have:
(c) P(1 Red and 1 Black)
This is calculated as:
So, we have:
(d) P(1st Red and 2nd Black)
This is calculated as:
So, we have:
For probabilities without replacement
(a) P(2 Red)
This is calculated as:
So, we have:
We subtracted 1 because the number of red balls (and the total) decreased by 1 after the first red ball is picked.
(b) P(2 Black)
This is calculated as:
So, we have:
We subtracted 1 because the number of black balls (and the total) decreased by 1 after the first black ball is picked.
(c) P(1 Red and 1 Black)
This is calculated as:
So, we have:
(d) P(1st Red and 2nd Black)
This is calculated as:
So, we have:
Ответ:
Bright
13th grade
are my free points done