document.write( "Question 483708: 1) Two cards are drawn from a standard deck and one of the two cards is noted and removed. Find the probabilities of the second card.\r
\n" ); document.write( "\n" ); document.write( "P(queen/five)=
\n" ); document.write( "P(red/red)=\r
\n" ); document.write( "\n" ); document.write( "2) Suppose that you toss a coin and roll a die. What is the probability of obtaining each of the following combinations? (Enter your answers as fractions.) \r
\n" ); document.write( "\n" ); document.write( "P(tails and an odd number)=\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3) Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. In a certain game, if a four or five occurs on the first roll, the player wins. What is the probability of winning on the first roll? \r
\n" ); document.write( "\n" ); document.write( "4) What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has one letter followed by two numerals followed by six letters? (Round to the nearest whole percent.) \r
\n" ); document.write( "\n" ); document.write( "5) What are the odds in favor of drawing face card from an ordinary deck of cards?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #331051 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1) Two cards are drawn from a standard deck and one of the two cards is noted and removed. Find the probabilities of the second card.
\n" ); document.write( "P(queen|five) = 4/51
\n" ); document.write( "----------
\n" ); document.write( "P(red/red)= 25/51
\n" ); document.write( "----------
\n" ); document.write( "2) Suppose that you toss a coin and roll a die. What is the probability of obtaining each of the following combinations? (Enter your answers as fractions.)
\n" ); document.write( "P(tails and an odd number) = (1/2)(1/2) = 1/4
\n" ); document.write( "------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "3) Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. In a certain game, if a four or five occurs on the first roll, the player wins. What is the probability of winning on the first roll?
\n" ); document.write( "---
\n" ); document.write( "4 combos: 1/3 ; 2/2 ; 3/1
\n" ); document.write( "5 combos: 1/4 ; 2/3 ; 3/2 ; 4/1
\n" ); document.write( "---
\n" ); document.write( "P(4 or 5) = 7/36
\n" ); document.write( "===============================
\n" ); document.write( "
\n" ); document.write( "4) What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has one letter followed by two numerals followed by six letters? (Round to the nearest whole percent.)
\n" ); document.write( "Ans: 1 - P(no repeated letter or digit)
\n" ); document.write( "= 1 - (26*10*9)/[26*10^2]
\n" ); document.write( "---
\n" ); document.write( "= 1 - [9/10]
\n" ); document.write( "----
\n" ); document.write( "= 1/10
\n" ); document.write( "==========================
\n" ); document.write( "
\n" ); document.write( "5) What are the odds in favor of drawing face card from an ordinary deck of cards?
\n" ); document.write( "ans: odds infavor of = P(for)/P(against)
\n" ); document.write( "= (12/52)/(40/52)
\n" ); document.write( "= 12:40
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );