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11111nata11111 [884]
2 years ago
15

There is a bag filled with 3 blue and 5 red marbles.

Mathematics
2 answers:
andreev551 [17]2 years ago
6 0

Answer:

  • 15/28

Step-by-step explanation:

There are 3 blue, 5 red and the total of 8 marbles.

<u>Two different colored marbles are:</u>

  • blue, then red or red, then blue

<u>Find the probability of each case:</u>

  • P(b, r) = 3/8*5/7 = 15/56
  • P(r, b) = 5/8*3/7 = 15/56

<u>Required probability is:</u>

  • P(different color) = 15/56*2 = 15/28
Scrat [10]2 years ago
6 0

Answer:

15/28 is the probability of getting 2 that are different in colour.

Step-by-step explanation:

  • 3 blue and 5 red marbles

He is going to pick any marble, in second try, it must be a different colour marble.

total marble: 3 + 5 = 8 marbles

For blue marble:

In first try for blue marble: 3/8

  • <em>total marble will decrease by 1, 7 marbles.</em>

second try for red marble: 5/7

probability then: 5/7 *  3/8 = 15/56 is the probability for blue marble.

For red marble:

In first try for red marble: 5/8

  • <em>total marble will decrease by 1, 7 marbles.</em>

second try for blue marble: 3/7

probability then: 5/8 * 3/7 = 15/56

**

total probability of getting different in colour:

15/56 + 15/56

15/28  **

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Two\ lines\ are\ perpendicular\ if\ product\ of\ the\ slopes\ is\ equal\ -1.\\\\k:y=\frac{3}{7}x+2\to the\ skolpe\ m_k=\frac{3}{7}\\\\l:y=\frac{7}{3}x-\frac{14}{3}\to the\ slope\ m_l=\frac{7}{3}\\\\m_k\times m_l=\frac{3}{7}\times\frac{7}{3}=1\neq-1\\\\conclusion:the\ lines\ are\ not\ perpendicular\\\\Two\ lines\ are\ parallel\ if\ the\ slopes\ are\ equal.\\\\m_k=\frac{3}{7};\ m_l=\frac{7}{3}\to m_k\neq m_l\\\\conclusion:the\ lines\ are\ not\ parallel


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