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Pls help now You play a game that requires rolling a 6 sided die then randomly choosing a colored card from a deck containing 5 red cards,4blue cards, and 8 yellow cards find the probability that you will roll 3 on the die and choose a yellow card

Answer :

Find the probability that you will get a 3 on a roll of a die. Since there is only one 3 in a die and there are 6 sides in a die, divide 1 by 6.

[tex]P(3)=\frac{1}{3}[/tex]

Find the probability that you will get a yellow card. Divide the number of yellow cards by the total number of cards.

[tex]\begin{gathered} P(y)=\frac{8}{5+4+8} \\ =\frac{8}{17} \end{gathered}[/tex]

Since the two events are independent, multiply the obtained probabilities.

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