Astandard deck of cards contains 52 cards. one card is selected from the deck.
(a) compute the probability of randomly selecting a diamond or club.
(b) compute the probability of randomly selecting a diamond or club or heart.
(c) compute the probability of randomly selecting a five or club.

1) Probability of randomly selecting a diamond or club =

2)Probability of randomly selecting a diamond or club or heart =

3) P(selecting a five or club) =

Step-by-step explanation:

Total cards in the deck = 52

Noe Let E : favorable Event

So,

1 ) Probability of randomly selecting a diamond or club

Here the favorable event is picking a club or diamond

hence, favorable outcomes  = Number of club and diamond

= 13 + 13 = 26

⇒P(selecting a diamond or club) =

2) Probability of randomly selecting a diamond or club or heart

Here the favorable event is picking a diamond and club and heart.

hence, favorable outcomes = Number of   clubs + diamond + heart

= 13 + 13 + 13 = 39

⇒P(selecting a diamond or club or heart) =

3 )Probability of randomly selecting a five or club.

Here the favorable event is selecting a five or club.

hence, favorable outcomes = Number of 5 in a deck  + Number of clubs

=  3 +  13  = 16

⇒P(selecting a five or club) =

step-by-step explanation: