Question

Provide an appropriate response. You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.
A. 0.994
B. 0.500
C. 0.006
D. 0.250

Answer 1

Answer:

C. 0.006

Step-by-step explanation:

Here we have to calculate the probability of two events happen at once, so the probability is the product of the probability of having a 2 and the probability of having a 10.

There are four 2 cards out of 52 in the poker game, so the probability of having a 2 is:

$P(2)=\frac{4}{52}=0.077$

Now the probability of having a 10 is 4 out of 51 because we substracted the card labeled as 2.

$P(10)=\frac{4}{51}=0.079$

so the probability is:

$P(P(2)andP(10))=0.077*0.079=0.006$