The number 4 siblings are least likely to be selected
<h3>What is the number of a sibling to be selected?</h3>
Probability is the likelihood of an event occurring or not. Probability value ranges from impossibility(0) to certainty(1).
The lower the value, the less likely the event is bound to occur.
From the probability distribution table, the probability of having 4 siblings at the game is 0.
This is the lowest out of all the given values in the probability distribution table. Therefore, it is the least likely event.
Thus the number 4 siblings are least likely to be selected
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Answer:
The answer is 480
Step-by-step explanation:
Answer:
x ∈ {-a, -b}
Step-by-step explanation:
1/(a+b+x) = 1/a +1/b +1/x . . . . given
abx = bx(a+b+x) +ax(a+b+x) +ab(a+b+x) . . . . multiply by abx(a+b+x)
(a+b)x^2 +(a+b)^2x +ab(a+b) = 0 . . . . . subtract abx
x^2 + (a+b)x +ab = 0 . . . . . divide by (a+b)
This is a quadratic equation in x. It will have two solutions, as given by the quadratic formula.
x = (-(a+b) ±√((a+b)^2 -4(1)(ab))/(2(1)) = (-(a+b) ± |a -b|)/2
Without loss of generality, we can assume a ≥ b, so |a -b| ≥ 0. Then ...
x = (-a -b -a +b)/2 = -a
x = (-a -b +a -b)/2 = -b
There are two solutions: x ∈ {-a, -b}.
