Answer question 5.b) III)Write out each step.Explain what you are doing during each step of the solution. theseIn order to hotSummertohothavehon5. In another state, license plates are formed using 6 symbols, any of which can be a number or aletter.a) How many license plates are there?b) What is the probability that a license plate has the following?I. All letters.II. At least one letter.III. At least 5 numbers.in woIV. An even number first, a multiple of 3 second, a consonant third, a vowel fourth, andanything at all fifth and sixth.1006. Given a standard deck of cards. What is the probability the top card is:a) a black ace?b) not a black ace?c) a diamond face card?d) a jack or a king?e) neither a queen nor an ace?7. In drawing 5 cards from a standard deck of cards without replacement, what is theprobability of:combinaa) getting 5 spades?b) getting 5 black cards?4c) getting 5 face cards?412234d) getting just face cardsds of acaces?e) getting 4 aces?S24zf) getting 2 aces and 3 queens?8. The board of regents of a university is made up of 12 men and 16 women. If a committeeis chosen at random, what is the probability:a) that it will contain 3 men and 3 women?b) that it will contain 4 men and 2 women?9. A town council consists of 8 Democrats, 7 Republicans, and 5 Independents. A committeeof 3 is chosen by randomly pulling names from a hat. What is the probability that thecommittee has:a) 2 Democrats and 1 Republican?b) 3 Independents?c) no Independents?Xisd) 1 Democrat, 1 Republican, and 1 Independent?S2423e) at least one Indugor

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We know, There are 26 letters A, B, C, . . . , Z and 10 numbers 0, 1 , 2 , . . ., 9.Therefore we…