Question

Two cards are selected from a deck of cards numbered from 1 to 10. Once a card is selected, it is not replaced. What is P(two even numbers)? Write the answer as a fraction in simplest form.
Include Explanation please

Answer 1

10 cards would have 5 even cards.

First pick would be 5/10 = 1/2 probability of getting an even card.

Without replacing there are 9 cards left with 4 even ones. The probability of picking an even card would be 4/9

The probability of both happening would be Found by multiplying the two probability’s together:

1/2 x 4/9 = 4/18 = 2/9