document.write( "Question 73016This question is from textbook Elementary Statistics
\n" ); document.write( ": You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places. \n" ); document.write( "

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Probability that the first card is a two: There are 4 two cards out of 52
\n" ); document.write( "P(card of two)=4/52=1/13
\n" ); document.write( "Probability that the second card is a ten: There are 4 ten cards out of 51 (take one 2 out of the deck)
\n" ); document.write( "P(card of ten)=4/51
\n" ); document.write( "Now since these two events need to happen at once, we multiply the two probabilities
\n" ); document.write( "P(two and a ten)=P(card of two)*P(card of ten)=(1/13)*(4/51)=4/663
\n" ); document.write( "So the chances of drawing a 2 and then a ten is 4/663 or 0.00603 (a 0.6% chance) \n" ); document.write( "

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