Answer: a) [tex]\dfrac{1}{13}[/tex]
b)[tex]\dfrac{2}{13}[/tex]
c) [tex]\dfrac{1}{4}[/tex]
d) [tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
Formula for probability =[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}[/tex]
The total number of cards in a deck = 52
a) Number of cards having queen =4
Then the probability that a queen is drawn =[tex]\dfrac{\text{No. of cards having queen}}{\text{Total cards}}[/tex]
[tex]=\dfrac{4}{52}=\dfrac{1}{13}[/tex]
c) Number of cards having King= 4
Then , the number of cards having a queen or king =4+4=8
Then the probability that a king or queen is drawn =[tex]\dfrac{\text{No. of cards having king or a queen}}{\text{Total cards}}[/tex]
[tex]=\dfrac{8}{52}=\dfrac{2}{13}[/tex]
c) Number of cards having heart = 13
Then the probability that a heart is drawn =[tex]\dfrac{\text{No. of cards having heart}}{\text{Total cards}}[/tex]
[tex]=\dfrac{13}{52}=\dfrac{1}{4}[/tex]
d) Number of red cards = 26
Then the probability that a red card is drawn =[tex]\dfrac{\text{No. of red cards}}{\text{Total cards}}[/tex]
[tex]=\dfrac{26}{52}=\dfrac{1}{2}[/tex]
