Mathematics
07.01.2023 21:44
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Ajar contains 38 marbles. it has 10 red, 22 black and 6 green marbles. two marbles

Ajar contains 38 marbles. it has 10 red, 22 black and 6 green marbles. two marbles are drawn, the first is not returned before the second one is drawn. what is the probability that both marbles are black?

p(both black) = 11 / 19

p(both black) = 231 / 703

p(both black) = 231 / 722

p(both black) = 121 / 361
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Royalty0703
Royalty0703
4,5(62 marks)

The correct answer option is 231 / 703

Step-by-step explanation:

We are given that a jar has 38 marbles, out of which 10 are red, 22 are black and 6 are green. Two marbles are drawn and the first marble is not returned when the second one is drawn.

We are to find the probability that both marbles are black.

1st draw: P (black) = \frac{22}{38} =\frac{11}{19}

2nd draw: P (black) = \frac{21}{37}

P (Both Black) = \frac{11}{19} \times \frac{21}{37} = 231 / 703

ahardy84
ahardy84
4,5(16 marks)
A

Explanation: the domain is the X axis and -1 is the first number in the X axis.

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