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Question

On February 28, 2013, a Field Poll Survey reported that 61%61 \% of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39-year-olds (California registered voters), the approval rating was 78%78 \%. Six in ten California registered voters said that the upcoming Supreme Court's ruling about the constitutionality of California's Proposition 8 was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, 75%75 \% say the ruling is important to them.

In this problem, let's:

  • C=C= California registered voters who support same-sex marriage.

  • BB = California registered voters who say the Supreme Court's ruling about the constitutionality of California's Proposition 8 is very or somewhat important to them

  • A=A= California registered voters who are 18 to 39 years old.

Are CC and BB mutually exclusive events? Show why or why not.

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In this task, we need to determine whether the events BB and CC are mutually exclusive. The given is that 61%61\% of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. 78%78\% of California registered voters in the age between 1818 and 3939 years approved of allowing same-gender marriages. 66 in 1010 registered California voters said that the Supreme Court’s ruling about the constitutionality of California’s Proposition 8 is very or somewhat important to them. 75%75\% of California registered voters who approved same-sex marriages say that the ruling is important to them. Also, there are 33 given events:

  • CC - California registered voters who support the same-sex marriages;
  • BB - California registered voters who say that the ruling is very or somewhat important to them;
  • AA - California registered voters that are 1818 to 3939 years old.

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