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Stella [2.4K]
3 years ago
5

There are 10 marbles in a bag. 3 are red, 4 are blue, 2 are green, and 1 is yellow. You plan to draw 2 marbles from the bag with

out replacement. Given that the first one you draw is yellow, what is the probability that the second marble will be blue?
Mathematics
1 answer:
schepotkina [342]3 years ago
4 0
<h2>Probability that the second marble will be blue is 0.44</h2>

Step-by-step explanation:

There are 10 marbles in a bag. 3 are red, 4 are blue, 2 are green, and 1 is yellow.

Total number of marbles = 10

Given that first marble is yellow.

New total number of marbles = 10 - 1 = 9

Now we have 3 are red, 4 are blue, 2 are green.

Number of blue marbles = 4

We need to find drawing probability of blue marble from 9 marbles.

Let the probability be, p

                   p=\frac{\texttt{Total blue marbles}}{\texttt{Total number of marbles}}\\\\p=\frac{4}{9}\\\\p=0.44

Probability that the second marble will be blue is 0.44

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The congruence theorem that can be used is: B. ASA

<h3>What is the ASA Congruence Theorem?</h3>

If we have two triangles that have two pairs of corresponding congruent angles (e.g. ∠LGH ≅ ∠HKJ and ∠LHG ≅ ∠KHJ), and a pair of corresponding congruent sides (e.g. GH ≅ HK), the triangles are said to be congruent triangles by the ASA congruence theorem.

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