A card is drawn at random from a deck ofc52 playing cards without being replaced. A second card is drawn. Draw a probability tree. s

Question

A. Both cards are diamonds

B.  Neither card is a diamond

C.  One of the cards is a diamond

D.  At least one card is a diamond

Answer 1

There are 13 diamonds

 

A)   13/52 * 12/51 = 1/4 * 4/17 = 1/17

 

B) 39/52 * 28/51 = 3/4 * 28/51 = 7/17

 

C)  100% - { Prob(both are diamonds) + Prob(Neither is diamond)} =  1 - ( 7/17 + 1/17) = 9/17

 

D)  Prob ( one diamond ) + Prob ( 2 diamonds) = 9/17 + 1/17 = 10/17