Suppose q and r are independent events. find p(q and r) if p(q) = 0.41 and p(r) = 0.44

Question

asked Dec 12, 2018 42.3k views

2 Answers

Okrasz · Answer 1 · 2018-12-19T12:49:29+0000

Answer:

The solution is
$P(q \cap r)=0.1804$

Explanation:

We need to calculate
$P(q \text{and} r)$

Given:-
$P(q)=0.41 \ \text{and} \ P(r)=0.44$ where q and r are independent events

Since, Events are independent then
$P(q \cap r)=q* r$

⇒
$P(q \cap r)=q* r$

⇒
$P(q \cap r)=0.41* 0.44$

⇒
$P(q \cap r)=0.1804$

Therefore, solution is
$P(q \cap r)=0.1804$