A fair coin is tossed 3 times in succession. The set of equally likely outcomes is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. Find the probability of getting at least one head. The probability of getting at least one head is (Simplify your answer.)In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 41) and matching the number on the gold ball (1 through 31). If one ticket is purchased, what is the probability of winning the jackpot? The probability of winning the jackpot with one ticket is (Type an integer or a simplified fraction.)The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, expressed in millions, to find the probability that a randomly selected citizen, aged 25 or over, had some college (less than 4 years) Less Than 4 Years Some College 4 Years 4 Years High School (Less Than College High School Only 4 Years) (or More) Total Male 11 26 20 21 78 Female 14 30 24 19 87 Total 25 56 44 40 165 The probability that a randomly selected citizen, aged 25 or over, had some college (less than 4 years) is (Type an integer or a simplified fraction.)In 6-card poker, played with a standard 52-card deck, 52C6, or 20,358,520, different hands are possible. The probability of being dealt various hands is the number of different ways they can occur divided by 20,358,520. Shown Number of Ways the Hand Can Occur Probability 7528 to the right is the number of ways a particular type of hand can occur and its associated probability. Find the probability 7528 of not being dealt this type of hand. 20,358,520 The probability is . (Round to six decimal places as needed.)The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the letter's point value. One tile is drawn from Scrabble's 100 tiles. A. 9 F 2 K. U. 4 Number 2 of files If one tile is drawn from the 100 tiles, find the odds in favor and the odds against selecting an F. B 2 G. 13 A. H. 2 M R. 6 Paint value D. N. 6 S. 4 E. 12 O 8 T. 6 Y. 2 The odds in favor of selecting an F are: (Simplify your answers.) The odds against selecting an F are: (Simplify your answers.)