Find the probability of drawing a pink card, not replacing it, and then drawing another pink card.

You have 4 ways to pick a pink card from the 10 cards
then you have 3 ways to pick a pink card from the remaining 9 cards

P(2 pink cards) = P(pink on first card) * P(pink on second card)
= (4/10)(3/9)
= 12/90
= 2/15

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MrRoyal MrRoyal · Answer 2 · 2022-06-01T15:36:39+02:00

The probability of drawing a pink card, not replacing it, and then drawing another pink card is 1/15

How to determine the probability?

The distribution of the cards is given as:

Total = 6

Pink =2

The probability of selecting a pink card is:

P(Card) = 2/6

Now, there are 5 cards left and 1 pink

The probability of selecting another pink card is:

P(Card) = 1/5

The required probability is:

P = 2/6 * 1/5

Evaluate

P = 1/15

Hence, the probability of drawing a pink card, not replacing it, and then drawing another pink card is 1/15