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aimee and bree each play volleyball on different teams in the same leag…

Question

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

Explanation:

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

$0.55\times0.60 = 0.33$

Step2: Compare with $P(A\ and\ B)$

$0.29
eq0.33$

Answer:

The events $A$ and $B$ are dependent because $P(A\ and\ B)
eq P(A)\times P(B)$.