Respuesta :
The probability that the first three cards that he deals are all hearts if none of them are replaced will be [tex]\rm P = \frac{13}{52} \times \frac{12}{51} \times\frac{11}{50}[/tex].
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The given data in the problem is ;
Total number of the card in the deck = 52
No of hearts = 13
If one heart is taken out one at a time we will get the probability that the first three cards that he deals are all hearts if none of them are replaced
From the total card one by one the cards is taken out without the replacement;
Without replacement, the card will be reduced by 1Also the heart card will also be decreased by one.
The probability that the first three cards that he deals are all hear will be;
[tex]\rm P = \frac{13}{52} \times \frac{12}{51} \times\frac{11}{50}[/tex]
Hence option B is correct.
To learn more about the probability link is given below.
https://brainly.com/question/795909
