Respuesta :
The probability that first card is a two and the second card is a ten is 0.006.
What is probability?
Probability is an area of mathematics that deals with the occurrence of a random event. There are four varieties of probability: classical, empirical, subjective, and axiomatic.
Probability is equivalent with possibility, therefore you might say it's the likelihood that a specific occurrence will occur.
Now, according to the question;
Let n(2) be the number of cards marked 2 ( = 4 cards).
Let n(10) be the number of cards marked 10 ( = 4 cards).
The total number of card in a pack is; n = 52.
Each card is chosen without replacement.
So the likelihood of the first being 2 and the second being 10 is:
[tex]\operato{Pr}=\frac{n(2)}{n} \times \frac{n(10)}{n-1}[/tex]
Substitute the values;
[tex]P r=\frac{4}{52} \times \frac{4}{52-1}[/tex]
Simplifying the equation;
[tex]P r=\frac{16}{2652}[/tex]
[tex]P r=0.006[/tex]
Therefore, the probability that first card is a two and the second card is a ten is 0.006.
To know more about probability, here
https://brainly.com/question/24756209
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