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posledela
3 years ago
12

If ∠P is a right angle and ∠P and ∠Q form a linear pair, then m∠Q is...?

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0
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30 ÷ 1.50 = 20

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John and Jane are married. The probability that John watches a certain television show is .5. The probability that Jane watches
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Answer: a) 0.15

b) 0.300

Step-by-step explanation:

Given : The probability that John watches a certain television show : P(John)=0.5

The probability that Jane watches the show is : P(Jane)= 0.5.

The probability that John watches the show, given that Jane does

=P(John | Jane)=0 .3.

Using Condition  probability formula P(B|A)=\dfrac{P(A\cap B)}{P(A)}, we have

P(A\cap B)=P(B|A)\timesP(A)

Similarly,

a) The probability that both John and Jane watch the show will be :-

\text{P(John}\cap \text{Jane)}=\text{P(John }|\text{ Jane)}\times\text{P(Jane)}\\\\=0.3\times0.5=0.15

b) The probability that Jane watches the show, given that John does will be :-

\text{P(John }|\text{ Jane)}=\dfrac{\text{P(John}\cap \text{Jane)}}{\text{P(John)}}\\\\=\dfrac{0.15}{0.5}=0.3

Hence, the probability that Jane watches the show, given that John does. = 0.300

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