Q and R are independent events. If P(Q)=0.8 and P(R)=0.2 find P(Q and R).

(a). 0.16
(b). 0.84
(c). 1

Question

Q and R are independent events. If P(Q)=0.8 and P(R)=0.2 find P(Q and R).   

(a). 0.16
(b). 0.84
(c). 1

kropot72 · Answer

An important property of independent events is that the probability of both occurring is the product of their probabilities. This is written as the formula:
$$P(A\cap B)=P(A) \times P(B)$$

anonymous · Answer

I am still confused im not sure what you mean by that

anonymous · Answer

For instance where did you get the A and the B? Can you explain and break it down please

kropot72 · Answer

So for your question:
$$P(Q \cap R)=P(Q) \times P(R)\ ..........(1)$$
Now you just plug the given values into (1)

anonymous · Answer

so so i multiply the given values 0.8 and  0.2?

kropot72 · Answer

Correct!

anonymous · Answer

).16? Thank you SOOOO MUCH!

kropot72 · Answer

You're welcome :)

anonymous · Answer

:) I have a quiz im taking for summer school and theres no teacher so this means a lot

kropot72 · Answer

Glad to be able to help.