Answer:
a) y </= 8 is not sufficient
b) y >/= 4 is sufficient (y is not less than 3.5)
Step-by-step explanation:
Number of Red marbles = 8
Number of white marbles = y
Total number of marbles in the jar = 8+ y
Let Pr(R) be the probability of picking red marbles
Let Pr(W) be the probability picking white marbles
Pr(R) = 8/ (8+y)
Pr(W) = 7/(7+y)
Pr(RR) = Pr(R1) * Pr( R2)
= 8/(8+y) * 7/(7+y)
Pr(RW) = Pr(R1) * Pr(W2) + Pr(W1) * Pr(R2)
= 2[Pr(R1) * Pr(W2)
= 2[8/(8+y) * y/(7+y)]
The probability of having 2 red is greater than one marble of each color.
Pr(RR) > Pr( RW)
8/(8+y) * 7/(7+y) > 2[8/(8+y) * y/(7+y)]
7/(7+y) > 2(y/(7+y)
7/y > 2
7/2 > y
3.5 > y
y < 3.5
Therefore;
a) y </= 8 is not sufficient
b) y >/= 4 is sufficient (y is not less than 3.5)
I think your answer might be 19.5
(basically like a 3D hexagon)
~Hope this helped
*hope images helped*
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Two of the images are rectangles; in which is an answer you can also put.
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Answer:
A. P(success/age≥60) = 12.5%
B. Yes, the success is independent of age.
Step-by-step explanation:
Probability of success, given that a climber is at least 60 years old is calculated using conditional probability rule
P(A|B) = P(A n B)/P(B)
Probability of success given that a climber is at least 60 years old is given by
P(success|age≥60) = P(success n age ≥ 60)/P(age ≥ 60) = 0.005/0.04
= 0.125
P(success|age≥60) = 12.5%
B. The success is independent on age
