document.write( "Question 701774: ten cards are numbered 1 through 10. three cards are selected. find the probability that all three cards are less than 5. \n" ); document.write( "

Algebra.Com's Answer #436472 by jsmallt9(3758) $\"\"$ $\"About$

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I think the other tutor did not notice that three cards are to be drawn. His/her solution is only correct for drawing a single card.

\n" ); document.write( "To find the probability of all three cards being less than 5:

Find the individual probabilities of each card being less than 5; then
Multiply these probabilities.

The probability of the first card being less than 5 is, as the other tutor said, 4/10.

\n" ); document.write( "The probability of the second card being less than 5 is 3/9 since there are only three cards left that are less than 4 and there are only 9 cards altogether after the first card.

\n" ); document.write( "The probability of the third card being less than 5 is 2/8 since there are only two cards left that are less than 4 and there are only 8 cards altogether after the first two cards.

\n" ); document.write( "The probability of all three cards being less than 5 is the product of the three individual probabilities:
\n" ); document.write( " $\"%284%2F10%29%2A%283%2F9%29%2A%282%2F8%29\"$
\n" ); document.write( "which simplifies down to:
\n" ); document.write( " $\"1%2F30\"$ \n" ); document.write( "

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