You pick a card at random, put it back, and then pick another card at random.1234567What is the probability of picking a 4 and then picking a 7?Write your answer as a percentage rounded to the nearest tenth.
Question
You pick a card at random, put it back, and then pick another card at random.1234567What is the probability of picking a 4 and then picking a 7?Write your answer as a percentage rounded to the nearest tenth.
Solution
The probability of picking a specific card (like 4 or 7) from a set of 7 cards is 1/7.
Since you are replacing the card after the first draw (meaning the total number of cards stays at 7), the two events are independent.
The probability of independent events is calculated by multiplying the probabilities of the individual events.
So, the probability of drawing a 4 and then a 7 is (1/7) * (1/7) = 1/49.
To convert this to a percentage, we multiply by 100, which gives us approximately 2.04%.
Rounded to the nearest tenth, the probability is 2.0%.
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