A carton contains 12 green and 8 blue bulbs. 2 bulbs are drawn at random. Find the probability that they are of same colour?

A carton contains 12 green and 8 blue bulbs. 2 bulbs are drawn at random. Find the probability that they are of same colour?
A. (91/47)
B. (47/105)
C. (47/95)
D. (47/145)

answer with explanation​

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2 thoughts on “A carton contains 12 green and 8 blue bulbs. 2 bulbs are drawn at random. Find the probability that they are of same colour?<br />”

  1. Answer:

    Let S be the sample space

    Then n(S) = no of ways of drawing 2 bulbs out of (12+8) = 20c2=20*19/2*1=190

    Let E = event of getting both bulbs of same colour

    Then, n(E) = no of ways (2 bulbs out of 12) or (2 bulbs out of 8)

    =12C2+ 8C2=(132/2)+(56/2) = 66+28 = 94

    Therefore, P(E) = n(E)/n(S) = 94/190 = 47/95

    Step-by-step explanation:

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  2. Step-by-step explanation:

    Let S be the sample space

    Then n(S) = no of ways of drawing 2 bulbs out of (12+8) = 20c2=20*19/2*1=190

    Let E = event of getting both bulbs of same colour

    Then, n(E) = no of ways (2 bulbs out of 12) or (2 bulbs out of 8)

    =12C2+ 8C2=(132/2)+(56/2) = 66+28 = 94

    Therefore, P(E) = n(E)/n(S) = 94/190 = 47/95

    Reply

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