Question - Card Drawing Probability Calculation
Solution:
The problem states that Ming has a standard 52-card deck, which consists of 4 suits with an equal number of cards in each suit. Ming is going to draw a card from the deck 300 times, with the card being replaced in the deck after each draw.Since there are 4 suits and the deck is well-shuffled each time, the probability of drawing a card from any specific suit (such as a heart) is 1/4.To find out how many times, on average, Ming might draw something other than a heart in 300 draws, we calculate the expectation for the other suits by subtracting the probability of drawing a heart from 1:1 - (1/4) = 3/4So the probability of not drawing a heart on any given draw is 3/4. To calculate the expected number of times she will not draw a heart in 300 draws:(3/4) * 300 = 225Ming will, on average, draw something other than a heart 225 times. Therefore, the best prediction to complete the statement is:"Ming will draw something other than a ♥️ exactly 225 times."So the answer is "Exactly 225 times."
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