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dixks
16.01.2021 •
Mathematics
A bag contains only red and blue marbles.
Yasmine takes one marble at random from the bag.
1
The probability that she takes a red marble is 5.
Yasmine returns the marble to the bag and adds five more red marbles to the bag.
1
The probability that she takes one red marble at random is now 3.
How many marbles of each colour were originally in the bag?
Solved
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Ответ:
0.76%
Step-by-step explanation:
This exercise is solved through combinations.
The first is the number of combinations of students that would go in that course, that is, 5 out of 40.
Formula: nCx = n! / X! * (N-x)!
40C5 = 40! / [5! * (40 - 5)!] = 658008
Also the number of combinations of the other members of the audience that occupy the other 4 places (9 in total - 5 of the group), that is 4 of 90 (130 total - 40 of the group658008po).
90C4 = 90! / [4! * (90 - 4)!] = 2555190
The total of possible combinations 9 contestants with 5 students in them, would be:
40C5 * 90C4
Now, the total number of possible 9 contestants from the audience would be 9 in 130:
130C9 = 130! / [9! * (130 - 9)! = 2.2016 * 10 ^ 13
The probability would be equal to:
40C5 * 90C4 / 130C9 = 658008 * 2555190 / (2.2016 * 10 ^ 13) = 0.076
In other words, the probability is 0.76%