document.write( "Question 1196516: A bag contains 3 black and 2 white balls. Two balls are taken from the bag at random, without replacement. By drawing a tree diagram, or otherwise, calculate the probability that
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\n" ); document.write( "(b) at least one ball is white
\n" ); document.write( "(c) the two balls are the same colour. \n" ); document.write( "

Algebra.Com's Answer #829374 by ikleyn(52817) $\"\"$ $\"About$

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\n" ); document.write( "A bag contains 3 black and 2 white balls.
\n" ); document.write( "Two balls are taken from the bag at random, without replacement.
\n" ); document.write( "By drawing a tree diagram, or otherwise, calculate the probability that
\n" ); document.write( "(a) both balls are black,
\n" ); document.write( "(b) at least one ball is white
\n" ); document.write( "(c) the two balls are the same colour.
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document.write( "(a)  P(both balls are black) =  =  =  = 0.3 = 30%.\r\n" );
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document.write( "(b)  P(at least one ball is white) = 1 - P(both balls are black) =  =  = 0.7 = 70%.\r\n" );
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document.write( "(c)  P(the two balls are the same colour) = P(both are black) + P(both are white) =\r\n" );
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document.write( "      = 0.3 +  = 0.3 +  = 0.4 = 40%.\r\n" );
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