solve 6.95type answer 6.946.95 In the game of poker, five cards from a standard deck of 52 cards are dealt to each player. Determinethe odds against the player receiving:of the numbers.(a) A royal flush (the ace, king, queen, jack, and 10 of the same suit)(b) A straight flush (any five cards in sequence and of the same suit, such as the 3, 4, 5, 6, and 7 ofspades)(c) Four of a kind (such as four 7's)(d) A full house (three of one kind and two of another, such as three kings and two 10's)696 A and B decide to meet between 3 and 4 P.M. but agree that each should wait no longer than 10 minutesfor the other. Determine the probability that they meet.697 Two points are chosen at random on a line segment whose length is a>0. Find the probability that thethree line segments thus formed can be the sides of a triangle.6.98 A regular tetrahedron consists of four sides. Each is equally likely to be the one facing down when thetetrahedron is tossed and comes to rest. The numbers 1, 2, 3, and 4 are on the four faces. Three regulartetrahedrons are tossed upon a table. Let X = the sum of the three faces that are facing down. Give theprobability distribution for X.6.99 In Problem 6.98, find the expected value of X.

Given::- In the game of poker, five cards from a standard deck of 52 cards are dealt to each…

of a standard deck of 52 cards are dealt to each player. Determine poker 95 In the game the odds against the player receiving: (a) A royal flush (the ace, king, queen, jack, and 10 of the same suit) (b) A straight flush (any five cards in sequence and of the same suit, such as the 3, 4, 5, 6, and 7 of spades) (c) Four of a kind (such as four 7's)