China Naming Network - Ziwei knowledge - 10 people draw lots and don't put them back. 10 hand, of which only 1 is marked. What is the probability that everyone will win the prize? Is the probability the same? why
10 people draw lots and don't put them back. 10 hand, of which only 1 is marked. What is the probability that everyone will win the prize? Is the probability the same? why
The probability is the same,110. Needless to say the first person,110.
The second person's winning probability is only possible if the first person doesn't win (the probability of not winning is 9/ 10), which is calculated by conditional probability.
p = 9/ 10 *( 1/9)= 1/ 10
Similarly, the third winning probability = 9/10× (8/9) * (1/8) =110.