[填空题]
In a college lotterya yq xzhep1fxb3.5umpdh u5,z)04r k:, there are two types of tickets: 'standard' tickets and 'luf4pu 5x,p kb51y. h3uzeqh xmazr0:d)1p/p(q, )h hdsk: ekcpcky' tichph,dq) epp1ks: k(/ckets. Every student is given one ticket at random. The total number of the standard tickets is four times greater than the number of lucky tickets.
The probability of winning the lottery with a standard ticket is for a lucky ticket. The tree diagram below illustrates this.
1. Calculate the probability that a randomly chosen student will win the lottery.
2. Calculate the probability that a randomly chosen student will get a lucky ticket and still lose the lottery.
3. Calculate the probability that a randomly chosen student, given they won the lottery, had a standard ticket. ≈