Respuesta :
The probability that the card is a queen or a club will be [tex]\frac{4}{13}[/tex] .
What is Probability ?
Probability is the ratio of the number of possible outcomes to the total number of outcomes.
Probability [tex]=\frac{Number\ of\ possible\ outcomes}{Total\ number\ of\ outcomes}[/tex]
We have,
Standard deck of [tex]52[/tex] cards,
So,
Total number of clubs in deck [tex]=13[/tex]
So,
Total number of queens in deck [tex]=4-1=3[/tex]
Now,
Total number of possible outcomes i.e.
The card is a queen or a club [tex]=3+13=16[/tex]
So,
Probability [tex]=\frac{Number\ of\ possible\ outcomes}{Total\ number\ of\ outcomes}[/tex]
[tex]=\frac{16}{52}=\frac{4}{13}[/tex]
So, the probability that the card is a queen or a club is [tex]\frac{4}{13}[/tex] .
Hence, we can say that the probability that the card is a queen or a club will be [tex]\frac{4}{13}[/tex] .
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