A bag contains 3 red balls and 3 blue balls. If 3 balls are selected at random, find the probability of selecting 3 red balls. The probability is (Type an integer or a simplified fraction.) Suppose that 3 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 3 are clubs? The probability is POE) = (Type an integer or a simplified fraction.) Twenty-six slips of paper are each marked with a different letter of the alphabet and placed in a basket. A slip is pulled out, it's letter recorded (in the order in which the slip was drawn), and the slip is replaced. This is done 5 times. Find the probability that a word with no repetition of letters is formed. The probability is (Type an integer or decimal rounded to four decimal places as needed.) After studying all night for a final exam, a bleary-eyed student randomly grabs 2 socks from a drawer containing 13 black socks, 10 brown socks, and 4 blue socks, all mixed together. What is the probability that the student grabs a matched pair? The probability of a matched pair is]. (Type an integer or a simplified fraction.) If the letters g. i, g. g. I i, n, and g are chosen at random, what is the probability that they spell the word "giggling"? The probability is (Type an integer or a simplified fraction.) An experiment consists of dealing 5 cards from a standard 52-card deck. What is the probability of being dealt a 6, 7, 8, 9, 10, all in the same suit? The probability of being dealt a 6, 7, 8, 9. 10, all in the same suit is(]- (Round to seven decimal places as needed) A state lottery game requires that you pick 6 different numbers from 1 to 44. (a) Assuming that order is unimportant, what is the probability of picking all 6 numbers correctly to win the big prize? (b) What is the probability of picking exactly 5 of the 6 numbers correctly? (a) The probability of picking all 6 numbers drawn is . (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)