The probability of the result is 11/21.
What is a combination?
A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.
Ray has 4 even numbered cards and 5 odd numbered card.
Ray takes at random three of these cards.
Let, all the three cards are even numbered card.
So, the sum of even numbers is even.
Suppose, two cards are odd numbered and one card is even numbered.
And the combination of 2 odd numbered card and one even numbered card is even.
Now, the possible outcomes;
= {C³₄ + C¹₄C²₅} / C³₄
In order to solve the combination:
Simplify,
{C³₄ + C¹₄C²₅} / C³₄
= [ 3! / {4! x (4-3)!} + 1!/{4! x (4-1)!} x 2!/{5! x (5-2)!} ] / [3! / 4!x (4-3)!]
= 11/21
Therefore, the probability is 11/21.
To learn more about the combination;
https://brainly.com/question/29594894
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