aaron plays on a baseball team, and the probability that the team wins their next game is 0.25. aarons…

aaron plays on a baseball team, and the probability that the team wins their next game is 0.25. aarons sister betty is on a basketball team. the probability that bettys team wins their next game is 0.36. the probability that both teams win their next game is 0.09. let a be the event that aarons team wins its next game, and let b be the event that bettys team wins its next game. move words into the spaces to correctly complete the sentence. the events that aarons team and bettys team win their next games are ______, because p(a and b) is ______ to the ______ of p(a) and p(b). dependent independent equal not equal product sum

aaron plays on a baseball team, and the probability that the team wins their next game is 0.25. aarons sister betty is on a basketball team. the probability that bettys team wins their next game is 0.36. the probability that both teams win their next game is 0.09. let a be the event that aarons team wins its next game, and let b be the event that bettys team wins its next game. move words into the spaces to correctly complete the sentence. the events that aarons team and bettys team win their next games are ______, because p(a and b) is ______ to the ______ of p(a) and p(b). dependent independent equal not equal product sum

Answer

Explanation:

Step1: Calculate product of P(A) and P(B)

$P(A)=0.25$, $P(B)=0.36$, so $P(A)\times P(B)=0.25\times0.36 = 0.09$

Step2: Compare with P(A and B)

Given $P(A\ and\ B)=0.09$. Since $P(A\ and\ B)=P(A)\times P(B)$, the events are independent.

Answer:

independent, equal, product