Probability Question

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PumaImpossible4823

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I just wanted to know how to do part (c), I included the other parts since I thought they were useful to some extent.

Given Probabilities: P(B'|A) = 0.4, P(B) = 2 * P(A), P(AuB) = 0.6

(a) Show that P(B|A) = 0.6
(b) Show that P(AnB) = 0.6P(A)
(c) Calculate P(A).

Thank you to anyone who helps.
 
PumaImpossible4823 said:
I just wanted to know how to do part (c), I included the other parts since I thought they were useful to some extent.

Given Probabilities: P(B'|A) = 0.4, P(B) = 2 * P(A), P(AuB) = 0.6

(a) Show that P(B|A) = 0.6
(b) Show that P(AnB) = 0.6P(A)
(c) Calculate P(A).

Thank you to anyone who helps.
Click to expand...
Please show us, in detail, your work regarding part (a) and part (b). As for part (c)

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem
 
PumaImpossible4823 said:
I just wanted to know how to do part (c), I included the other parts since I thought they were useful to some extent.

Given Probabilities: P(B'|A) = 0.4, P(B) = 2 * P(A), P(AuB) = 0.6

(a) Show that P(B|A) = 0.6
(b) Show that P(AnB) = 0.6P(A)
(c) Calculate P(A).

Thank you to anyone who helps.
Click to expand...
I, too, want to see what you've got so far; but I can point out that you probably haven't yet used the fact that P(B) = 2 * P(A), with which you can write an equation and solve for the unknown.
 
1660362464462.png
Dr.Peterson said:
I, too, want to see what you've got so far; but I can point out that you probably haven't yet used the fact that P(B) = 2 * P(A), with which you can write an equation and solve for the unknown.
Click to expand...
1660362464462.pngsorry for the bad quality and not posting this before. I'm not sure I did (c) correctly. Thank you again.
 
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