a box contains 10 pins. 3 are blue 7 are green. two pins are taken out of the box without replacement. work out the probability that both pins are the same colour
Answers
Given : a box contains 10 pins. 3 are blue 7 are green. two pins are taken out of the box without replacement
To find : probability that both pins are the same colour
Solution:
Box contains 10 pins
Blue = 3
Green = 7
Total Number of ways two pins can be selected = ¹⁰C₂ = 45 Ways
Number of Ways Both Blue = ³C₂ = 3 Ways
Number of Ways Both Green = ⁷C₂ = 21 Ways
Total Ways both pins are the same colour = 3 + 21 = 24
Probability that both pins are the same colour = 24/45
= 8/15
probability that both pins are the same colour = 8/15
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