Question

A card is drawn randomly from a deck of ordinary playing cards. You win $10 if...

A card is drawn randomly from a deck of ordinary playing cards. You win $10 if the card is a spade or an ace. What is the probability that you will win the game (and $10)?

  • 1/13
  • 13/52
  • 16/52
  • 17/52
  • None of the above
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

We define two events A and B

Event A = card is spade

Event B = card is ace

To win we need a card that is spade or ace

We need to calculate Probability of drawing a card that is spade or ace = P(A or B )

Using the formula for Probability of A or B :

P(A or B ) = P(A) + P(B) - P(A and B)

Probability that drawn card is spade = P(A) =

  Probability that drawn card is ace  = P(B) = ( one ace in each suit)

Probability that drawn card is spade and ace =

So ,  

Third option is correct

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