SOLUTION: A jar contains 12 red marbles numbered 1 to 12, 4 blue marbles numbered 1 to 4, and 10 white marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probabil

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Question 1195647: A jar contains 12 red marbles numbered 1 to 12, 4 blue marbles numbered 1 to 4, and 10 white marbles numbered 1 to 10.
A marble is drawn at random from the jar. Find the probability of the given event.
Write your answers as integers or reduced fractions.
(a) The marble is red.

(b) The marble is not red.

(c) The marble has the number 2 written on it.

(d) The marble is blue with the number 1 written on it.

(e) The marble has the number 15 written on it.
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
A jar contains 12 red marbles numbered 1 to 12, 4 blue marbles numbered 1 to 4, and 10 white marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event. Write your answers as integers or reduced fractions.

the red marbles are numbered 1 to 12.
the blue marbles are numbered 1 to 4.
the white marbles are numbered 1 to 10.

the total number of marbles is 12 + 4 + 10 = 36.

(a) The marble is red.

the there are 12 red marbles out of a total of 36.
the probability that the marble drawn at random is red is equal to 12/36 = 1/3.

(b) The marble is not red.

there are 24 marbles that are not red out of a total of 36.
the probability that the marble drawn at random is not red is equal to 24/36 = 2/3.

(c) The marble has the number 2 written on it.

there are 3 marbles with the number 2 written on them out of a total of 36.
one of them is red.
one of them is blue
one of them is white.
the probability that the marble drawn at random has a number 2 written on it is equal to 3/36 = 1/12.

(d) The marble is blue with the number 1 written on it.

there is 1 marble that is blue with the number 1 written on it out of a total of 36.
the probability that the marble drawn at random is blue with a number 1 written on it is 1/36.

(d) The marble has the number 15 written on it.

none of the marbles has the number 15 written on it.
the probability that the marble drawn at random has the number 15 written on it is 0/36 = 0.

Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
A jar contains 12 red marbles numbered 1 to 12, 4 blue marbles numbered 1 to 4, and 10 white marbles numbered 1 to 10.
A marble is drawn at random from the jar. Find the probability of the given event.
Write your answers as integers or reduced fractions.
(a) The marble is red.

(b) The marble is not red.

(c) The marble has the number 2 written on it.

(d) The marble is blue with the number 1 written on it.

(e) The marble has the number 15 written on it.
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            The post by @Theo has an error,  so his answers are incorrect.
            I  came to bring a correct solution.


The total number of marbles is 12 + 4 + 10 = 26. 

(a)  Of the total of 26 marbles, 12 are red.

     So, the probability to get randomly a red marble is   = .     ANSWER



(b)  The probability that the marble is not red is the complement to (a), i.e.

     1 -  = .    ANSWER



(c)  There are 3 marbles of 26, having a "2" written on it,

     so the probability to get such marble is  .    ANSWER



(d)  Of the total 26 marbles, there is only one, which is blue with the number "1" written on it, so the answer is  .



(e)  There is no marble with "15" written on it, so the probability is 0 (zero).

Solved.



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