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Differentiate between Conditional probability and Joint Probability

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Hey all,

I have a confusion regarding when to use P(A∩B)  or P(A/B). Like in following question:

 

A group consists of equal no of men and women .of this grp 20% of men and 50% of women are unemployed .If a person is selected at random from this group ,the probability of the selected person being employed is

 

here, how to understand that 50% of women unemployed is P(Unemployed/Women) and not P(Women ∩ Unemployed) ? Thanks

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GO Classes 2024 | Weekly Quiz 8 | Conditional Probability | Question: 1
Which all of the following is true for the Venn diagram shown here: $P(E \cup G)=P(E)+P(G)$ $P(E \cup G)=P(E)+P(G)-P(E \cap G)$ $P\left(E^C \cap F\right)=P\left(F^C\right)-P(E)$ $P\left(E^C \cap F\right)=1-\left(P\left(F^C\right)-P(E)\right)$
Which all of the following is true for the Venn diagram shown here:$P(E \cup G)=P(E)+P(G)$$P(E \cup G)=P(E)+P(G)-P(E \cap G)$$P\left(E^C \cap F\right)=P\left(F^C\right)-P...
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