Question

Find the probability indicated using the information given. Given $P\left(E_{1} \cup E_{2}\right)=0.72, P\left(E_{2}\right)=0.56,$ and $P\left(E_{1} \cap E_{2}\right)=0.43 ;$ compute $P\left(E_{1}\right)$

          Find the probability indicated using the information given.
Given $P\left(E_{1} \cup E_{2}\right)=0.72, P\left(E_{2}\right)=0.56,$ and
$P\left(E_{1} \cap E_{2}\right)=0.43 ;$ compute $P\left(E_{1}\right)$

Added by James A.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Tim Thornhill

Step 1

We are given $P(E_1 \cup E_2) = 0.72$, $P(E_2) = 0.56$, and $P(E_1 \cap E_2) = 0.43$. We want to find $P(E_1)$. Using the formula, we have: $0.72 = P(E_1) + 0.56 - 0.43$ Show more…

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Find the probability indicated using the information given. Given $P\left(E_{1} \cup E_{2}\right)=0.72, P\left(E_{2}\right)=0.56,$ and $P\left(E_{1} \cap E_{2}\right)=0.43 ;$ compute $P\left(E_{1}\right)$