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10 Jul 2018, 00:56
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Bunuel
Hi Bunuel,
why is (24c1 * 1) / 24c2 wrong??
As there are 24 gloves, we need to first pick one glove, so 24c1.
Then we have only one way to pick the other glove, so 1.
Total outcomes=picking two out of 24 = 24c2.
we get 2/23, so where am I going wrong?
Thanks,
Uma
10 Jul 2018, 19:56
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Hi Uma,
There are 12 pairs of gloves - and the prompt asks for the probability of pulling out a pair of matching gloves (NOT a "specific" pair of matching gloves). Thus, the first glove selected can be ANY color (and has an equal probability of being any color) and does not impact the overall calculation. It's the SECOND glove that you have to think about - since it has to match the first glove selected. There will only be 1 glove that matches, out the of the 23 gloves remaining, so the probability will be 1/23. If there wasn't an equal probability of pulling each type of glove on the first try, then the math would be different, but that's not the case here.
GMAT assassins aren't born, they're made,
Rich
There are 12 pairs of gloves - and the prompt asks for the probability of pulling out a pair of matching gloves (NOT a "specific" pair of matching gloves). Thus, the first glove selected can be ANY color (and has an equal probability of being any color) and does not impact the overall calculation. It's the SECOND glove that you have to think about - since it has to match the first glove selected. There will only be 1 glove that matches, out the of the 23 gloves remaining, so the probability will be 1/23. If there wasn't an equal probability of pulling each type of glove on the first try, then the math would be different, but that's not the case here.
GMAT assassins aren't born, they're made,
Rich
10 Jul 2018, 19:56
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Hi Uma,
There are 12 pairs of gloves - and the prompt asks for the probability of pulling out a pair of matching gloves (NOT a "specific" pair of matching gloves). Thus, the first glove selected can be ANY color (and has an equal probability of being any color) and does not impact the overall calculation. It's the SECOND glove that you have to think about - since it has to match the first glove selected. There will only be 1 glove that matches, out the of the 23 gloves remaining, so the probability will be 1/23. If there wasn't an equal probability of pulling each type of glove on the first try, then the math would be different, but that's not the case here.
GMAT assassins aren't born, they're made,
Rich
There are 12 pairs of gloves - and the prompt asks for the probability of pulling out a pair of matching gloves (NOT a "specific" pair of matching gloves). Thus, the first glove selected can be ANY color (and has an equal probability of being any color) and does not impact the overall calculation. It's the SECOND glove that you have to think about - since it has to match the first glove selected. There will only be 1 glove that matches, out the of the 23 gloves remaining, so the probability will be 1/23. If there wasn't an equal probability of pulling each type of glove on the first try, then the math would be different, but that's not the case here.
GMAT assassins aren't born, they're made,
Rich
