Exercise · ZW-EVENT-002 · ★☆☆ Basic
When rolling a die, let \(A=\{2,4,6\}\) and \(B=\{4,5,6\}\). What is \(A\cap B\)?
Choose one option.
Show answer
- A. \(\{4,6\}\)
Explanation
The intersection contains the outcomes in both events: 4 and 6. \(\{2,4,5,6\}\) is the union.
Review the concept: Event
An event \(A\) is a subset of the sample space \(\Omega\): the set of outcomes for which a given condition holds.
\[A\subseteq\Omega\]
More practice problems: event
- ZW-EVENT-001 A die is rolled. Which subset of Omega=\1,dots,6\ represents the event «an even number shows»?
- ZW-EVENT-003 With A=\2,4,6\ and B=\4,5,6\ on a die, what is A∪ B?
- ZW-EVENT-004 With A=\2,4,6\ on a die, what is the complement A^c?
- ZW-EVENT-005 Two dice are rolled. How many outcomes does the event «the sum is 7» contain?
- ZW-EVENT-006 Two dice are rolled. How many outcomes does the event «the first die is greater than the second» co…
- ZW-EVENT-007 A coin is tossed three times. How many outcomes does the event «at least two heads» contain?
- ZW-EVENT-008 If Omega has 6 elements, how many different events (subsets, including ∅ and Omega) can be formed?
- ZW-EVENT-009 Two events A and B are mutually exclusive. Which statement is correct?