Statistics question:

three cards are drawn without replacement from the 12 face cards (j, q,k) of the ordinary deck of 52 playing cards. let x be the number of kings selected and let y be the number of jacks. find the joint probability distribution of x and y.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

i think its a and d

step-by-step explanation: