# Calculating probability of an event

#### chengeto

##### New member
Calculate the probability of the following event :

$$\displaystyle A\cup (B\cap C)= (A\cup B) \cap (A\cup C)$$

I am stuck on how l would calculate the probabilities of (A\cup B) \cap (A\cup C)

#### galactus

##### Super Moderator
Staff member
Try a Venn diagram to show it. Do you have to do it 'algebraically'?.

#### chengeto

##### New member
I have attached the venn diagram. So does this basically mean that my probability is :

$$\displaystyle A \cup B \cup C$$

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#### pka

##### Elite Member
chengeto said:
Calculate the probability of the following event :
$$\displaystyle A\cup (B\cap C)= (A\cup B) \cap (A\cup C)$$
I am stuck on how l would calculate the probabilities of (A\cup B) \cap (A\cup C)
There is really no question there.
That does not really make sense.
I think that you have not posted the complete question.
Have you?

#### chengeto

##### New member
pka said:
chengeto said:
Calculate the probability of the following event :
$$\displaystyle A\cup (B\cap C)= (A\cup B) \cap (A\cup C)$$
I am stuck on how l would calculate the probabilities of (A\cup B) \cap (A\cup C)
There is really no question there.
That does not really make sense.
I think that you have not posted the complete question.
Have you?

That is the full question and it didn't even make sense to me.