What's the probability of selecting John and then James as disciples of Jesus?

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In summary, the probability of selecting John and then James out of 12 disciples is 1/132. This is because the probability of selecting John first is 1/12, and then the probability of selecting James is 1/11, making the overall probability 1/(11*12)= 1/132. It is important to work through these problems step-by-step in order to truly understand them and be able to apply the concepts to other problems. Simply having someone solve it for you will not help with understanding and transferring the knowledge.
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mathdad
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Jesus had 12 disciples. What's the probability of selecting John and then James?

What is the set up?
 
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Basically, you keep asking same question over and over again! Are you actually learning anything?

If you have n objects, the probability of choosing anyone of them is 1/n. If you have n objects, once you have chosen one, without replacement, there are n- 1 objects left. The probability of choosing anyone of those n- 1 objects is 1/(n-1). When the probability of event A is p and the probability of event B is q, the probability of "event A and event B" is pq.

Here n= 12. The probability of choosing "John" first is 1/12. The probability of choosing "James" next is 1/11. The probability of choosing "John" and then "James" is 1/(11*12)= 1/132.
 
  • #3
Thank you very much.
 
  • #4
Hey RTCNC,

I do agree that this question is similar to the one you asked yesterday, so for me that only highlights the fact that you should work with us step-by-step to truly understand these problems. If someone just solves it for you, you won't be able to easily transfer that to other problems. Why don't you post what you've tried and your thoughts on it? Do you agree with what I'm saying conceptually?
 

FAQ: What's the probability of selecting John and then James as disciples of Jesus?

What is the definition of "Probability of Event A then B"?

The probability of Event A then B is the likelihood that Event A will occur first, followed by Event B. It is denoted as P(A and then B) or P(A|B), where P represents the probability and the vertical line indicates "given that".

How is the probability of Event A then B calculated?

To calculate the probability of Event A then B, we use the formula P(A and then B) = P(A) * P(B|A). This means we first calculate the probability of Event A occurring, and then we multiply it by the probability of Event B occurring given that Event A has already occurred.

What is the difference between "Probability of Event A then B" and "Probability of Event B given A"?

The "Probability of Event A then B" refers to the likelihood of both events occurring in a specific order, while "Probability of Event B given A" refers to the likelihood of Event B occurring after Event A has already occurred.

Can the probability of Event A then B ever be greater than 1?

No, the probability of Event A then B can never be greater than 1. This is because the probability of two events occurring together can never be greater than the probability of either event occurring individually.

How does the probability of Event A then B relate to conditional probability?

The probability of Event A then B is an example of conditional probability, which is the likelihood of an event occurring given that another event has already occurred. In this case, the event B is dependent on the occurrence of event A.

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