i cant understand this problem

[donys]

Hi guys i have a problem but i dont know how to start solving this

can you help?

 

We have three events:

 

A={The midday temperature in Hirakleio is 25C}

B={The midday temperature in Athens is 25C}

C={The maximum of the two midday temperatures in Hirakleio and Athens is 25[degrees]C}

P(A)=0.3

P(B)=0.4

P©=0.2

 

Find the probability that the minimum temperature between the two midday temperatures is 25C

[Woxor]

Try to think of all the possible ways that this minimum=25 event can happen, then try to express each situation in terms of the given probabilities.

 

For example, one way that this can happen is when both are 25. This is the probability of both A and B occuring at once. Another way is for Hirakleio to be 25 and Athens to be hotter. This is the probability of B occuring and C not happening. Continue this until you exhaust the possibilities, and then use things like "The probability of A and B is equal to P(A)*P(B)" to find the total probability.