Respuesta :
Answer:
a) 0.5
b) 0.75
c) 0.307
Step-by-step explanation:
We are given the following information in the question:
Number of cards in a deck = 52
Formula:
[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]
a) P(Heart or Diamond)
Total number of hearts and diamonds in a deck = 13 + 13 = 26
P( Heart or Diamond) =
[tex]\displaystyle\frac{26}{52} = \displaystyle\frac{1}{2} = 0.5[/tex]
b) P(Heart or Diamond or Spade)
Total number of hearts, diamonds and spades in a deck = 13 + 13 + 13 = 39
P( Heart or Diamond or Spades) =
[tex]\displaystyle\frac{39}{52} = \displaystyle\frac{3}{4} = 0.75[/tex]
c) P(10 or Spades)
Total number of spades in a deck = 13
Number of 10 in a deck = 4
P( 10 or Spades) =
[tex]\displaystyle\frac{13 + 4 -1}{52} = \displaystyle\frac{16}{52} = \displaystyle\frac{4}{13} = 0.307[/tex]
