SOLUTION: 1) Two fair 6-sided dices are rolled. a) What is the probability that a sum greater than 8 is rolled? b) What is the probability that a sum is rolled that is divisible by 4? c)

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Question 1059414: 1) Two fair 6-sided dices are rolled.
a) What is the probability that a sum greater than 8 is rolled?
b) What is the probability that a sum is rolled that is divisible by 4?
c) What is the probability that at only one 4 is rolled on either one of the dice?
d) What is the probability that at least one 4 is rolled on either one of the dice?
2) What is the probability of getting at least 1 black card in a 7-card hand dealt from a standard 52 card deck? (Hint: Use the complement of the event instead of trying to solve it directly.)
3) I have the following individual socks that are in my drawer: 6 red socks, 7 green socks, and 4 blue socks. Two socks are picked out in the dark.
a) What is the probability that if the second sock is red, then the first sock is also red?
b) What is the probability that the two socks are the same color?
c) What is the probability that if the second sock is not red, then the first sock is blue?
4) A store sells three types of flash drives: brand A, brand B and brand C. Of the flash drives it sells, 53% are brand A, 21% are brand B, and 26% are brand C. The store has found that 9% of the brand A flash drives are returned as defective, 12% of the brand B flash drives are returned as defective, and 7% of the brand C flash drives are returned as defective. If a flash drive is returned as defective, what is the probability (rounded to three decimals places) that it is
a) Flash A drive?
b) Flash B drive?
c) Flash C drive?
(You must show your probability tree and/or table showing all probabilities in decimal form.)

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John

My calculator said it, I believe it, that settles it


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