A stack of index cards contains 3 yellow cards, 4 green cards, and 1 red card. Alexa will pull 3 cards from the stack, one at a time without looking. She will not replace a card before pulling the next card. What is the probability that she will draw a yellow card, then a green card, then a red card? Show all steps. *

Question

A stack of index cards contains 3 yellow cards, 4 green cards, and 1 red card. Alexa will pull 3 cards from the stack, one at a time without looking. She will not replace a card before pulling the next card. What is the probability that she will draw a yellow card, then a green card, then a red card? Show all steps.  *

directrix · Answer

3 Yellow
4 Green
1 Red
3 Cards Without Replacement

directrix · Answer

Probability is the number of desired outcomes divided by the number of possible outcomes.

The probability of getting a Yellow card on the first draw is 3/8 because there are 3 yellow cards in the stack of 8 cards.

The probability of getting a Green card is 4/7 because there are 4 green cards in the stack  of 7 cards. The number of cards in the stack went down by 1 because the first card selected was not placed back into the stack.

The probability of getting a Red card is 1/6 because there is one red card in the stack of 6 cards.

The Probability of getting (YGR cards in order) = 3/8 * 4/7 * 1/6 = ?

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