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You pick a card at random. Without putting the first card back, you pick a second card at random.1234What is the probability of picking a 4 and then picking a number less than 3?Simplify your answer and write it as a fraction or whole number.

You pick a card at random. Without putting the first card back, you pick a second-example-1

1 Answer

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The probability of picking a 4 in the first selection is:


P(4)=(1)/(4)

Now we only have the cards 1, 2, and 3 in the deck.

The probability of picking a number less than 3, that is, 1 or 2 is:


P(\lt3)=(2)/(3)

The combined (dependent) probability is the product of the individual probabilities:


P=(1)/(4)\cdot(2)/(3)=(1)/(6)

The probability is 1/6

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