document.write( "Question 1134291: A box contains 5 blue beads, 4 yellow beads and 3 purple bead. Three beads
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\n" ); document.write( "\n" ); document.write( "a) What is the probability of picking, in order, a blue bead followed by a
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\n" ); document.write( "\n" ); document.write( "b) Work out the probability that all three beads will be the same colour.\r
\n" ); document.write( "\n" ); document.write( "c) What is the probability that the three beads will not be the same color?
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Algebra.Com's Answer #751644 by Edwin McCravy(20056) $\"\"$ $\"About$

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A box contains 5 blue beads, 4 yellow beads and 3 purple bead. Three beads are taken from the bag, at random, without replacement.

[Is is a box or a bag? Hahahaha!]

a) What is the probability of picking, in order, a blue bead followed by a yellow bead followed by a purple bead?
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document.write( "There are 5+4+3=12 beads.  \r\n" );
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document.write( "To succeed in picking the first bead blue,\r\n" );
document.write( "we can choose the first bead as any of the 5 blue beads out of the 12\r\n" );
document.write( "beads. \r\n" );
document.write( "That's a probability of 5/12 of picking the first bead.\r\n" );
document.write( "Since we are not replacing the beads, there will only be 11 beads remaining.\r\n" );
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document.write( "To succeed once we've succeed in picking the first bead blue,\r\n" );
document.write( "we can choose the second bead as any of 4 yellow beads out of the remaining\r\n" );
document.write( "11 beads. \r\n" );
document.write( "That's a probability of 4/11 of picking the second bead successfully once\r\n" );
document.write( "we've picked the first bead successfully.\r\n" );
document.write( "Since we are not replacing the beads, there are only 10 beads left.\r\n" );
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document.write( "To succeed once we've succeed in picking the first bead blue and the second\r\n" );
document.write( "bead yellow, we can choose the third bead as any of 3 purple beads out of\r\n" );
document.write( "the remaining 10 beads. \r\n" );
document.write( "That's a probability of 3/10 of picking the third bead successfully once\r\n" );
document.write( "we've picked the first and second beads successfully.\r\n" );
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document.write( "Answer: \r\n" );
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\n" ); document.write( "b) Work out the probability that all three beads will be the same colour.
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document.write( "P(all blue)+P(all yellow)+P(all purple) = \r\n" );
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\n" ); document.write( "c) What is the probability that the three beads will not be the same color?

[Do you mean \"not all the same color, or \"all three different colors?\"]\r\n" );
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document.write( "If you mean \"not all the same color\" then it is the complement event of (b)\r\n" );
document.write( "Answer = \r\n" );
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document.write( "If you mean \"all three different colors\", then it's just a matter of\r\n" );
document.write( "multiplying the results of the part a) by 3! or 6 because it's just as\r\n" );
document.write( "likely that they are all different in one order and another.\r\n" );
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document.write( "Answer: \r\n" );
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document.write( "Edwin

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