You take the letters in the word HAPPY and write each one on a slip of paper. Yo

Question

You take the letters in the word HAPPY and write each one on a slip of paper. You then place the pieces of paper in a basket. If you pull out the pieces of paper one at a time without replacement, what is the probability that you will spell out the word HAPPY? There is a bowl with 4 red and 5 yellow apples on a table. A sample of three apples is drawn from the bowl. Find the probability that exactly 2 of the apples are red that there are more yellow apples than red apples Two cards are drawn without. replacement from an ordinal deck of 52 card, . What is the probability that the cards are a diamond and a spade? You are building 16 digit passwords (numbers only) What is the probability that you create a password that has no repeated digits.

Explanation / Answer

Q3.
When 2 cards are drawn from the pack of 52, sample space is 52 C 2
and the probability that 2 cards are a diamond, spade = 13 C 1 * 13 C 1 / 52 C 2 = nCr(13,1)nCr(13,1)/nCr(52,2) = 0.1274509

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