Question

There are 10 yellow, 6 green, 9 orange, and 5 red cards in a stack of cards turned facedown. Once a card is selected, it is not replaced. Find the probability of selecting two yellow cards. Please select one answer.

3/29

1/3

1/15

Answer 1

3/29

Explanation:

Total cards: 10 + 6 + 9 + 5 = 30

10/30 × 9/29

3/29

Answer 2

3/29

Explanation:

There are a total of 10+6+9+5 cards = 30

10 yellow, 6 green, 9 orange, and 5 red cards

Draw a card

P(yellow) = number of yellow cards/ total

=10/30 = 1/3

Now keep the yellow card

There are a total of 19+6+9+5 cards = 29

Draw a card

P(yellow) = number of yellow cards/ total

=9/29

P(yellow, not replaced, yellow) = 1/3 *9/29

=9 /87 =3/29