A standard deck of cards contains 52 cards. One card is selected from the deeck.

ID: 3390428 • Letter: A

Question

a) compute the probability of randomly sselecting a heart or diamond.

b) Compute the probability of randomly selecting a heart orr diamond or club.

c) Compute the probability of raqndomly selecting a ace or spade.

a) P(heart or diamond)= (Type an integer or a simplified fraction.)

b)P(heart of diamond or club)= (Type an integer or a simplified fraction.)

c) P(ace or spade)= (type an integer or a simplified fraction.)

Given One card is selected from the deck of 52 cards

a) P(heart or diamond) = P(heart) + P(diamond) - P(heart and diamond)

= (13c1 / 52c1) + (13c1 / 52c1) - 0

= 26 / 52 = 0.5

b) P(heart or diamond or club) = P(heart) + P(diamond) + P(club) - P(heart and diamond) - P(heart and club)

- P((club and diamond) + P(heart and diamond and club)

= (13c1 / 52c1) + (13c1 / 52c1) +(13c1 / 52c1) - 0 - 0 - 0 + 0

= 39 / 52 = 0.75

c) P(ace or Spade) = P(ace) + P(spade) - P(ace and space)

= (4c1 / 52c1) + (13c1 / 52c1) - (1c1 / 52c1)

= 16 / 52

=0.3077

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