How many different ways can the first twelve letters of the alphabet be arranged?
2 answers:
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Answer:
a)0.25
b)0.375
Step-by-step explanation:
Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6
Even= 2,4,6
Odd = 1 ,3 , 5
Probability of getting even =
Probability of getting odd =
4 dices are rolled together
a)P(3 even and 1 odd numbers)
P(3 even and 1 odd numbers)=
P(3 even and 1 odd numbers)=
b)P(2 even and 2 odd numbers)
P(2 even and 2 odd numbers)=
P(3 even and 1 odd numbers)==0.375
Answer:
Step-by-step explanation:
Given parameters:
Number of white balls = 24
Number of black balls = 16
Unknown:
The probability that white ball is drawn at random = ?
Solution:
The probability of an event is the likelihood of such an event to occur. That an event will occur has a probability of 1, it will not occur have a probability of zero.
In this problem, the total number of outcomes of drawing any ball has sample space of (24 + 16)outcomes = 40outcomes.
Probability of an event =
Pr(white balls) = =
It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
<h3>How to prove a Line Segment?</h3>We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.
Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.
In ΔPNM, ∠N = 90°
∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)
∠P + ∠M = 90°
Clearly, ∠M is an acute angle.
Thus; ∠M < ∠N
PN < PM (The side opposite to the smaller angle is smaller)
Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Read more about Line segment at; brainly.com/question/2437195
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