Question

let A denote the event that there will be an earthquake in Olympia tomorrow with P(A)= 0.59 let me donate another event that former US President Trump will visit the geyser element tomorrow with P(B)= 0.37 what is the probability that tomorrow there will be indeed be an earthquake in olympia and former US president trump will also visits the giza pyramid

Answer 1

The two probabilities are independent of each other. Simply we use

`P(A\cap B)=P(A)\cdot P(B)`

Given: P(A) = 0.59 and P(B) = 0.37

Therefore, the probability that tomorrow there will be indeed be an earthquake in olympia and former US president trump will also visits the giza pyramid​ is

`\begin{gathered} P(A\cap B)=P(A)\cdot P(B) \\ P(A\cap B)=(0.59)(0.37) \\ P(A\cap B)=0.2183 \end{gathered}`