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In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy two tickets.
Concept: undefined >> undefined
In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy 10 tickets.
Concept: undefined >> undefined
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Find the union of the following pairs of sets:
X = {1, 3, 5} Y = {1, 2, 3}
Concept: undefined >> undefined
Find the union of the following pairs of sets:
A = {a, e, i, o, u}, B = {a, b, c}
Concept: undefined >> undefined
Find the union of the following pairs of sets:
A = {x : x is a natural number and multiple of 3}
B = {x : x is a natural number less than 6}
Concept: undefined >> undefined
Find the union of the following pairs of sets:
A = {x : x is a natural number and 1 < x ≤ 6}
B = {x : x is a natural number and 6 < x < 10}
Concept: undefined >> undefined
Find the union of the following pairs of sets:
A = {1, 2, 3}, B = Φ
Concept: undefined >> undefined
Let A = {a, b}, B = {a, b, c}. Is A ⊂ B? What is A ∪ B?
Concept: undefined >> undefined
If A and B are two sets such that A ⊂ B, then what is A ∪ B?
Concept: undefined >> undefined
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find
A ∪ B
Concept: undefined >> undefined
Is it true that for any sets A and B, P (A) ∪ P (B) = P (A ∪ B)? Justify your answer.
Concept: undefined >> undefined
Show that for any sets A and B, A = (A ∩ B) ∪ (A – B) and A ∪ (B – A) = (A ∪ B)
Concept: undefined >> undefined
From the data given below state which group is more variable, A or B?
|
Marks |
10-20 |
20-30 |
30-40 |
40-50 |
50-60 |
60-70 |
70-80 |
|
Group A |
9 |
17 |
32 |
33 |
40 |
10 |
9 |
|
Group B |
10 |
20 |
30 |
25 |
43 |
15 |
7 |
Concept: undefined >> undefined
We have to find the smallest set A such that\[A \cup \left\{ 1, 2 \right\} = \left\{ 1, 2, 3, 5, 9 \right\}\]
Concept: undefined >> undefined
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identities:
\[A \cup \left( B \cap C \right) = \left( A \cup B \right) \cap \left( A \cup C \right)\]
Concept: undefined >> undefined
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A \cap \left( B \cup C \right) = \left( A \cap B \right) \cup \left( A \cap C \right)\]
Concept: undefined >> undefined
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A \cap \left( B - C \right) = \left( A \cap B \right) - \left( A \cap C \right)\]
Concept: undefined >> undefined
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A - \left( B \cup C \right) = A\left( A - B \right) \cap \left( A - C \right)\]
Concept: undefined >> undefined
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A - \left( B \cap C \right) = \left( A - B \right) \cup \left( A - C \right)\]
Concept: undefined >> undefined
Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identitie:
\[A \cap \left( B ∆ C \right) = \left( A \cap B \right) ∆ \left( A \cap C \right)\]
Concept: undefined >> undefined
