(1) List all possible results of two dice being thrown at the same time.
Answer: * * * There are 2 1 results (1,12, 13, 14, 15,15.
. The number chosen by Xiao Ming is 5 and the number chosen by Xiao Yin is 6. If you join the game, what number will you choose, or are you more likely to win than them?
A: I will choose 7, so I have a better chance of winning them (assuming that the two dice are A and B, if I choose 5 and the sum of the two dice is 5, then there will only be four situations, namely A 1B4, A2B3, A3B2 and A4B1; If 6 is selected, two dice can only appear in five situations: A 1B5, A2B4, A3B3, A4B2, a5b1; If you choose 7, there will be six situations: A 1B6, A2B5, A3B4, A4B3, A5B2, A6B 1).
2 an instant noodle company advertised that; Instant noodles produced by our company, 20 packets per box, are immediately put into one of the six puzzles. If you collect all six different puzzles, you can win a beautiful gift. Some students find it easy. As long as six students each buy a box, they can work out the puzzle. Do you think it's right?
A: It's not that easy. I use ABCDEF instead of six puzzles. The cards in the first box may be A or BCDEF, and the cards in the second box may be A or BCDEF. By analogy, he bought six boxes of cards, all of which may be Class A cards! Therefore, the probability that six different puzzles can be collected into six boxes is only (6 * 5 * 4 * 3 * 2 *1)/(6 * 6 * 6 * 6 * 6) =1.45421%.