Respuesta :
Answer:
0.00198
Step-by-step explanation:
The number of total ways that 5 cards can be selected from a deck of 52 cards is given as
⁵²C₅ = 2,598,960 ways.
Number of ways a flush, including straight and royal flushes, that is, five cards of the same suit can happen is given by
⁴C₁ × ¹³C₅ = 4 × 1287 = 5148
Note that of the 52 cards, each suit has 13 cards, So, ⁴C₁ represents selecting a suit out of 4 different suits and ¹³C₅ represents selecting 5 cards out of 13 cards thay a suit contains.
So, the probability of a flush
= 5148 ÷ 2,598,960 = 0.0019807923 = 0.00198 to 5 d.p
Hope this Helps!!!
The probability of five cards of the same suit is 0.00198
Probability of any event happen is calculated by, divide favourable number of outcomes by total number of outcomes.
The number of total ways that 5 cards can be selected from a deck of 52 cards is given as
Total outcomes = ⁵²C₅ = 2598960
Number of ways a flush, including straight and royal flushes, that is, five cards of the same suit can happen is given by
Number of favourable outcomes = ⁴C₁ × ¹³C₅ = 4 × 1287 = 5148
⁴C₁ represents selecting a suit out of 4 different suits .
¹³C₅ represents selecting 5 cards out of 13 cards that a suit contains.
Therefore, the probability that a five-card poker hand contains a flush,
=[tex]\frac{5148}{2598960}=0.00198[/tex]
Learn more:
https://brainly.com/question/15812320
