Lewis rolls a number cube and then chooses a card from a set of cards numbered 1 through 5. What is the probability that he will roll an evennumber and choose an even numbererd card?

Step-by-step explanation:

Sample Space for the Cube, A={1,2,3,4,5,6}

n(A)=6

Even Numbers in A={2,4,6}

Sample Space for the Cards, B={1,2,3,4,5}

n(B)=5

Even numbers in the card,B= {2,4}

The two events are INDEPENDENT Events as the outcome of the cube does not affect the card picked, therefore:

P(A and B)=P(A) X P(B)

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step-by-step explanation: