A man play a game of cards in casino.the man has to pay Rs.10 for drawing a card from a well shuffled pack of cards.If a numbered card turns up,the man doubles his money else heforfeits it.In the long run,what ishis expected gain or loss per carddrawn?

• Rs 5.38 gain per card drawn
  probability of drawn card to be number is 10/13 and probability of drawn card not being an number is 3/13. for 13 cards drawn gain is 70 rs. for one card it is 5.38 rs.
• 11 years agoHelpfull: Yes(2) No(1)
• probability of drawing a num. card is 36/52=9/13
  out of 13 tries he will will 9
  gain per try is (9/13)*10= 6.9
  probability of not drawing a num. card is 1-9/13=4/13
  loss per try is 4/13*10=3.07
  
• 11 years agoHelpfull: Yes(1) No(1)
• In a pack of 52 cards there will be 4 sets of 13 differently marked card.
  Total numbered cards are 9 out of 13
  There fore he gets a profit of 9*10=90
  Remaining 4 out of 13 are cards with figures he gets a loss of 4*10=40
  Hence total gain =90-40=50
  Now this 50 is aprofit on 13 cards
  And net profit on one card is 50/13=3.85
• 7 years agoHelpfull: Yes(1) No(0)