Answer:
26/75
Step-by-step explanation:
4 / 15 / 10 / 13
= 4/15 * 13/10
= 52 / 150
= 26/75 answer
Answer:
0.7 ; 0.65 ; 0.115
Step-by-step explanation:
Step-by-step explanation:
P(A) = 0.5 ; P(B) = 0.3
P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5
1.)
Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.
Probability that European project isn't successful;
P(B') = 1 - P(B) = 1 - 0.3 = 0.7
2.)
Probability that atleast one of the 2 projects is successful :
P(AUB) = P(A) + P(B) - P(AnB)
P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15
P(AUB) = 0.5 + 0.3 - 0.15 = 0.65
3.)
Probability that only the Asian project is successful, given that atleast one of the two projects is successful :
[P(A) - P(AnB)] ÷ P(AuB)
[0.5 * 0.15] ÷ 0.65
= 0.075 ÷ 0.65
= 0.1153846
= 0.115
We are to show that if X ⊆ Y then (X ∪ Z) ⊆ (Y ∪ Z) for sets X, Y, Z.
Assume that a is a representative element of X, that is, a ∈ X. By the definition of union, a ∈ X ∪ Z. Now because X ⊆ Y and we assumed a ∈ X, then a ∈ Y by the definition of subset. And because a ∈ Y, then a ∈ Y ∪ Z by definition of union.
We chose our representative element, a, and showed that a ∈ X ∪ Y implies that a ∈ Y ∪ Z and this completes the proof.
Answer:
Step-by-step explanation:
<em>Subtract the students who don't have protractors from the students who have mathematical instruments.</em>
Answer:
503
Step-by-step explanation:
