You have a standard deck of 52 cards (4 suits and 13 ranks). You are dealt five cards. What is the probability that you have a flush (5 cards same suit) if the first two cards you got were the 3 of diamonds and king of diamonds?

0.008418 or  0.8418%

Step-by-step explanation:

Since the first two cards are already set as the three of diamonds and the king of diamonds, all of the five cards must be diamonds to get a flush. For the third card, there are 11 diamonds within the 50 remaining cards. If we get a diamond, for the fourth card, there are 10 diamonds within the 49 remaining cards and then 9 diamonds within 48 cards for the last pick. The probability of getting a flush is:

There is a 0.008418 or 0.8418% of getting a flush.

0.32

step-by-step explanation:

2.24/7

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value