Answer :
Answer:
1) Probability of randomly selecting a diamond or club = [tex]\frac{1}{2}[/tex]
2)Probability of randomly selecting a diamond or club or heart = [tex]\frac{3}{4}[/tex]
3) P(selecting a five or club) = [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
Total cards in the deck = 52
Noe Let E : favorable Event
So, [tex]P(E) = \frac{\textrm{Number of Favorable outcomes}}{\textrm{Total outcomes}}[/tex]
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) = [tex]\frac{26}{52} = \frac{1}{2}[/tex]
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) = [tex]\frac{39}{52} = \frac{3}{4}[/tex]
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) = [tex]\frac{16}{52} = \frac{4}{13}[/tex]