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Im having trouble answering the following questions I tried everything I can. I JUSS dont get it

1)In a common carnival game the player tosses a penny from a distance of about 5 feet onto a table ruled in 1-inch squares. If the penny (3/4 inch in diameter) falls entirely inside a square, the player receives 5 cents but does not get his penny back; otherwise he loses his penny. If the penny lands on the table, what is his chance to win?

2) 2If a chord is selected at random on a fixed circle, what is the probability that its length exceeds the radius of the circle?

3a) You roll a single die 3 times. Let X be the random variable which measures how many of each roll turns up (e.g. 3 one’s, 2 two’s, 1 three, 1 four, 1 six). Determine the probability distribution of the situation.

b) The above random variable is said to exhibit a multinomial distribution. Use the above question to derive an expression (equation) for a particular outcome of X.

4) From a shuffled deck, cards are laid out on a table one at a time, face up from left to right, and then another deck is laid out so that each of its cards are beneath a card from the first deck. What is the probability that exactly ‘r’ matches occur (a match being the same value and suit matching)

please help me out, im stuck, i got the other 16 questions right, and i am not satisfied with just that, cuz im determined to find out what i did wrong.

thanks

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# Probabiliy distributions

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