Respuesta :
Answer: Last option is correct.
Step-by-step explanation:
Since we have given that
Number of cards of clubs = 13
Number of cards of heart = 13
We need to take out 2 cards chosen from the deck that is one club and one heart.
Probability of choosing one club and one heart is given by
[tex]\frac{^{13}C_1\times ^{13}C_1}{^{52}C_2}\\\\=\frac{13\times 13\times 2\times 1}{52\times 51}\\\\=0.1275[/tex]
Hence, Last option is correct.
The probability of getting one club and one heart is 0.127.
What is probability?
The probability is defined as a number that shows the favorable occurrence of an event.
Given that a standard deck of 52 playing cards contains 13 cards in each of four suits: diamonds, hearts, clubs, and spades.
The probability of choosing one club and one heart is given as below.
[tex]P = \dfrac {^{13}C_1 \times ^{13}C_1}{^{52}C_2}[/tex]
[tex]P = \dfrac { 13\times 13\times 2\times 1}{52\times 51}[/tex]
[tex]P = 0.127[/tex]
Hence we can conclude that the probability of getting one club and one heart is 0.127.
To know more about the probability, follow the link given below.
https://brainly.com/question/795909.
