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4 years ago

If P(A)= 0.70 and P(B) = 0.20, then A and B are independent events if?

Mathematics

2 answers:

DiKsa [7]4 years ago

7 0

Answer:

Step-by-step explanation:

P(A) = 0.70

P(B) = 0.20

P(A n B) = P(A) x P(B)

P(A n B) = 0.70 x 0.20

P(A n B) = 0.14

"Or" means that they are mutually exclusive, which it does not specifically mention, therefore B and C are out.

Allushta [10]4 years ago

6 0

Answer: A. P(A and B) = 0.14

Step-by-step explanation:

The two events A and B are independent if the Intersection of the probability of both events is equal to the product of the event individual probability. This also means that the occurrence of one event does not affect the other event. Mathematically,

P(AnB) = P(A)(B)

P(AnB) = 0.70×0.20

P(AnB) = 0.14

P(A and B) = 0.14

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A standard deck of cards contains 52 cards. One card is selected from the deck.(a)Compute the probability of randomly selecting

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a. There are four 5s that can be drawn, and $\binom43=4$ ways of drawing any three of them. There are $\binom{52}3=22,100$ ways of drawing any three cards from the deck. So the probability of drawing three 5s is

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c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of $\frac{16}{52}=\frac4{13}\approx0.31$ .

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4 years ago

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4 years ago

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ivanzaharov [21]

Answer:

1) (2,10) is solution of y=4x+2

2) (7,5) is not solution of 2x+y=5

3) (-3,3) is not solution of y=6-x

4) (10,-1) is solution of x+8y=2

5) (2,21) is not solution of y=6x+7

6) (6,-8) is solution of 3x-y=26

Step-by-step explanation:

1) y=4x+2 (2,10)

Put x=2 and y=10 and check if both sides are equal or not

10=4(2)+2

10=8+2

10=10

So, (2,10) is solution of y=4x+2

2) 2x+y=5 (7,5)

Put x=7 and y=5 and check if both sides are equal or not

2x+y=5

2(7)+5=5

14+5=5

19≠5

So, (7,5) is not solution of 2x+y=5

3) y=6-x (-3,3)

Put x=-3 and y=3 and check if both sides are equal or not

y=6-x

3=6-(-3)

3=6+3

3≠9

So, (-3,3) is not solution of y=6-x

4) x+8y=2 (10,-1)

Put x=10 and y=-1 and check if both sides are equal or not

x+8y=2

10+8(-1)=2

10-8=2

2=2

So, (10,-1) is solution of x+8y=2

5) y=6x+7 (2,21)

Put x=2 and y=21 and check if both sides are equal or not

y=6x+7

21=6(2)+7

21=12+7

21≠19

So, (2,21) is not solution of y=6x+7

6) 3x-y=26 (6,-8)

Put x=6 and y=-8 and check if both sides are equal or not

3x-y=26

3(6)-(-8)=26

18+8=26

26=26

(6,-8) is solution of 3x-y=26

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3 years ago