A deck of cards contains 12 cards with letters and 16 cards with numbers. A card is pulled from the deck at random and replaced. This process is carried out 14 times.What is a reasonable prediction for the number of times a card with a letter should
Question
A deck of cards contains 12 cards with letters and 16 cards with numbers. A card is pulled from the deck at random and replaced. This process is carried out 14 times.What is a reasonable prediction for the number of times a card with a letter should
Solution
To solve this problem, we need to find the probability of drawing a card with a letter and then multiply it by the number of times the process is carried out.
Step 1: Find the total number of cards in the deck. This is the sum of the number of letter cards and number cards, which is 12 + 16 = 28 cards.
Step 2: Find the probability of drawing a card with a letter. This is the number of letter cards divided by the total number of cards, which is 12 / 28 = 0.42857.
Step 3: Multiply the probability of drawing a card with a letter by the number of times the process is carried out. This is 0.42857 * 14 = 6.
So, a reasonable prediction for the number of times a card with a letter should be drawn is approximately 6 times.
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