What is the probability of a security pass being yellow or having a chain?

AI Thread Summary
The discussion revolves around calculating the probabilities related to security passes that are either yellow or white, and equipped with clips or chains. The probabilities given include that 6/10 of the passes have clips, with specific ratios for yellow and white passes. A participant expresses frustration over the lack of information on the total number of passes, which complicates the calculations. They initially attempt a probability calculation but find it incorrect, leading to confusion about the dependency on the actual counts of yellow and white passes. Ultimately, the participant resolves their confusion and acknowledges their premature posting.
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Homework Statement


The security passes for a certain company are coloured yellow or white, they're provided with either a clip or a chain. The probability that a pass has a clip is 6/10, 2/3 of the white passes and 4/7 of the yellow ones are fitted with clips. A member of the company is stopped on his way into work find the probability that;

The pass is yellow
The pass is yellow with a chain

If two people are stopped randomly as they enter find the probability that one pass will be yellow and the other white, and one will have a clip and the other a chain.

Homework Equations



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The Attempt at a Solution



Really frustrating question, is this question possible? :/ This is what I've tried, but it's wrong according to the book;

(3/7 * 4/10) + (4/7 * 6/10) = 0.514 (I know this is wrong but I was trying anything)

I just don't see how this is possible because surely it's dependant on the actual number that are white and yellow? Surely if there's 1000 white, and 5 yellow, the probability of a yellow is much different than with different numbers there, and they tell you no-where what to assume...

Any help would be great.
 
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Got it, sorry, i always post too early.
 

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