You are not logged in.
Pages: 1
Four friends (Amy, Bobby, Chris and Dusty) each choose a random train to Coney Island between 1 and 5. What is the probability that any of them chose the same train?
I am lost here. A friend hinted that this is conditional probability. In what way is this conditional probability? How do I solve this problem?
Offline
Since there are a number of ways any of them could take the same train, I would instead do the probability that none of them chose the same train.
Amy picks a train: 5/5
Bobby picks a different train: 4/5
Chris picks yet another train: 3/5
Dusty picks another different train: 2/5
Multiply those together, and you get the probability they all chose a different train.
Take this probability away from 1, and you get the probability any of them chose the same train.
I think that's right?
K_R
"The most incomprehensible thing about the world is that it is comprehensible." -Albert Einstein.
Offline
Remember: you can use the hide tag to make your answer hidden in a button.
Last edited by Europe2048 (2024-05-14 08:53:27)
Offline
Remember: you can use the hide tag to make your answer hidden in a button.
Thank you for your great effort but the textbook answer is 101/125.
Is the textbook wrong?
Offline
Since there are a number of ways any of them could take the same train, I would instead do the probability that none of them chose the same train.
Amy picks a train: 5/5
Bobby picks a different train: 4/5
Chris picks yet another train: 3/5
Dusty picks another different train: 2/5Multiply those together, and you get the probability they all chose a different train.
Take this probability away from 1, and you get the probability any of them chose the same train.
I think that's right?
K_R
Thanks bit the textbook answer is 101/125.
Is the textbook wrong? I must admit that this one is a tricky question.
Offline
It is 101/125, Europe just accidentally wrote 101/25.
K_R
"The most incomprehensible thing about the world is that it is comprehensible." -Albert Einstein.
Offline
It is 101/125, Europe just accidentally wrote 101/25.
K_R
Thank you for the information.
Offline
Sorry for the mistake, I fixed it.
Offline
Sorry for the mistake, I fixed it.
Very cool. Thanks.
Offline
Pages: 1