Hi, I am having problems with the practice question in my STAT class. I need some helps and explanations. A bucket containing 46 tokens, consisting of 18 blue tokens, 26 yellow tokens, and 2 red tokens, is presented to the player. The player must blindly reach into the bucket and select a token at random. They keep this token (i.e. the token is not returned to the bucket), and then must once again blindly select a token at random from the bucket. If the first token drawn is yellow, and the second is blue, the player wins the game. Otherwise, the player loses the game. There are two key events below: Y 1 = first token selected is yellow. B2 = second token selected is blue. (a)Write down suitable notation for (i) the event that a red token is selected on the first draw, and (ii) for the event that a red token is selected on the second draw. (b) Calculate P(Y1). What does this value represent? (c) Calculate P(B2|Y1). What does this value represent? (d) Calculate P(Y1 and B2 ). What does this value represent? (e) Using your answers from the previous questions, is it more likely that you will win or lose this game? (f) If the two red tokens were removed from the game, would your chances of winning increase or decrease? (g)Suppose that the designer of the game would like your probability of winning to be at least 0.235 (i.e. 23.5% chance to win). If the number of yellow and red tokens remains the same as the initial scenario (26 and 2 respectively), but a new, different number of blue tokens was used, what is the smallest total number of tokens (all colours) needed to achieve the desired probability of success? I think in this case, using Excel might help find the solutions.