Theresab2021
24.02.2020 •
Mathematics
G(1 point) Two marbles are drawn randomly one after the other without replacement from a jar that contains 3 red marbles, 3 white marbles, and 6 yellow marbles. Find the probability of the following events, accurate to 4 decimal places. (a) A red marble is drawn first followed by a white marble. The probability is : (b) A white marble is drawn first followed by a white marble. The probability is : (c) A yellow marble is not drawn at all. The probability is :
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Ответ:
(a)
(b)
(c)
Step-by-step explanation:
We are given that Two marbles are drawn randomly one after the other without replacement from a jar that contains 3 red marbles, 3 white marbles, and 6 yellow marbles.
So, total number of marbles = 3 + 3 + 6 = 12 marbles
(a) Probability that a red marble is drawn first followed by a white marble is given by;
First P(drawing red marble) =
Now, since one red marble has been drawn so now the total marbles remaining will be 12 - 1 = 11 marbles and from this white marble will be drawn.
P(drawing white marble) =
Therefore, Probability that a red marble is drawn first followed by a white marble = = .
(b) Probability that a white marble is drawn first followed by a white marble is given by;
P(drawing first white marble) =
Now, the white marbles remaining are 3 - 1 = 2 marbles and total number of marbles are 12 - 1 = 11 marbles.
So, P(drawing another white marble) =
Therefore, Probability that a white marble is drawn first followed by a white marble = = .
(c) Probability that a yellow marble is not drawn at all is given by;
Now both the marbles will be drawn from red and white marbles i.e. 6 marbles and total marbles will be 12
So, probability that a yellow marble is not drawn at all = =
= = = = .
Ответ:
Thank you so much! You’re so generous and sweet! ♥️
Step-by-step explanation: