How is this the answer?!

The Venn diagram shows the number of people who like tea (T) and who like coffee (C).
Set T= 53
Union = 5
Set C = 47
Outside = 15

A person is selected at random, what is the probability that:
They like tea? (Answer was "120")
Only like coffee? (Answer "120")

A person who likes coffee is selected, what is the probability that:
they like tea too? (Answer "52")
they only like coffee? (Answer "58")

This was copied word-for-word, this is the exact question, it was Grade 6-7 GSCE Revision on MyMaths, and it gave the format to write as a Fraction only.

HOW DO I GET THAT? I swear you can only do Decimals, Fractions and Percentages for CONDITIONAL PROBABILITY, how do I get those answers?

Reply 1

mqb2766

Can you post a pic of the question?

Reply 2

Ozymandias007

I can't, it was a MyMaths question, and I closed that tab ages ago, it never generates the same question again.
However, I copied it word for word

Reply 3

mqb2766

Original post by Ozymandias007

I can't, it was a MyMaths question, and I closed that tab ages ago, it never generates the same question again.
However, I copied it word for word

The answers looked wrong, and from your description I cant say whether #T=53 or #T=53+5. I suspect the laltter, but youd have to draw the venn diagram as you remember it and upload it and your working if you want it checked.