Question

he information to answer the question.
and bree each play volleyball on different teams in the same league. let a be the event that aimees
ees team wins a game.
= 0.55
= 0.60
and b) = 0.29
vents a and b dependent or independent? move the options to the lines to complete the sentence
events a and b are ________ because p(a and b) p(a) __ p(b).
dependent
=
≠
+
ind

Explanation:

Step1: Calculate $P(A) \times P(B)$

$P(A) \times P(B) = 0.55 \times 0.60 = 0.33$

Step2: Compare to $P(A \text{ and } B)$

$P(A \text{ and } B) = 0.29$, and $0.29
eq 0.33$

Step3: Apply independence rule

Events are independent if $P(A \text{ and } B)=P(A)P(B)$; else dependent.

Answer:

events $A$ and $B$ are $\boldsymbol{dependent}$ because $P(A \text{ and } B)$ $\boldsymbol{
eq}$ $P(A)$ $\boldsymbol{\times}$ $P(B)$.