Two events $E$ and $F$ are **independent** with $P(E) = 0.3$ and $P(F)…

Question

Two events $E$ and $F$ are **independent** with $P(E) = 0.3$ and $P(F) = 0.5$. What is $P(E 	ext{ and } F)$?

Accepted Answer

A. $0.15$

For independent events: $P(E 	ext{ and } F) = P(E) \cdot P(F) = 0.3 \cdot 0.5 = 0.15$.
- Trap D ($0.80 = P(E) + P(F)$) confuses *and* with *or*.
- Trap C is $P(E 	ext{ or } F) = 0.3 + 0.5 - 0.15 = 0.65$ (also a valid quantity but not what was asked).

Answer

$0.20$

Answer

$0.65$

Answer

$0.80$

Two events $E$ and $F$ are **independent** with $P(E) = 0.3$ and $P(F) = 0.5$. What is $P(E \text{ and } F)$?

Two events $E$ and $F$ are independent with $P(E) = 0.3$ and $P(F) = 0.5$. What is $P(E \text{ and } F)$?