Mathwork OA 数学和coding challenge

数学题 5-6 道， 时间15分钟，我当时花时间多的两题：
1. Five ants are sitting at the Five corners of an pentagon. Each ant starts randomly picks a direction and starts to move along the edge of the pentagon. What is the probability that none of the ants collide? (1 - (1/2)^5 *2 ) = 15/16
2. (这道题好像是新题）Two Grape Crushers take 4 days to crush certain amount of grapes.If one of them crushed half the grapes and the other crushed other half , then they complete the job in 9 days. How many days will it take slower crusher to do the job alone? (Faster one: 6 days, Slower one 12 days, 最后我选的none of the above).

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