Answer : The probability for not a king is, [tex]\frac{12}{13}[/tex]
Step-by-step explanation :
Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]
Favorable outcomes are, 52
Now we have to calculate the probability for not a king.
Total number of king in a deck of 52 cards = 4 (spade, heart, diamond and club)
Favorable outcomes for NOT a king = 52 - 4 = 48
Total number of outcomes = 52
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}[/tex]
[tex]\text{Probability}=\frac{48}{52}[/tex]
[tex]\text{Probability}=\frac{12}{13}[/tex]
Therefore, the probability for not a king is, [tex]\frac{12}{13}[/tex]
