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Nikitich [7]
3 years ago
14

A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

<u>There are:</u>

  • 6 red balls - R
  • 5 black balls - B
  • Total number = 11 balls
<h3>A. Without replacement</h3>

i. <u>Two blacks </u>

  • P(BB) = 5/11*4/10 = 2/11

ii. <u>The first is black</u>

  • P(B) = 5/11

or, alternatively

  • P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11

iii. <u>Both are of same colour</u>

  • P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11
<h3>B. With replacement</h3>

i. <u>Two blacks </u>

  • P(BB) = 5/11*5/11 = 25/121

ii. <u>The first is black</u>

  • P(B) = 5/11

or alternatively

  • P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. <u>Both are of same colour</u>

  • P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121
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