Given:
Volume of the prism = 60 in³
Breadth = 2.5 in
Height = 4 in.
To find:
The length of the prism.
Solution:
We know that, volume of a prism is
where, l is length, b is breadth and h is height.
Putting V=60, b=2.5 and h=4, we get
Divide both sides by 10.
Therefore, the missing dimension of the prism is 6 in.
Answer:
a) S = {1, 2, 3}
b) P(odd number) =
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) =
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is
(because it is twice the others). The sum of probabilities must be 1.
P(odd number) = Prob(1) + Prob(3)
= =