DP Mathematics HL Questionbank
5.3
Description
Combined events; the formula for P(A∪B).
Directly related questions
- 18M.2.hl.TZ1.8: Each of the 25 students in a class are asked how many pets they own. Two students own three pets...
- 16M.1.hl.TZ2.7a: Show that \({\text{P}}(A \cup B) = 2p - {p^2}\).
- 16M.1.hl.TZ1.4a: On the Venn diagram shade the region \(A' \cap B'\).
- 16N.2.hl.TZ0.11a: Show that \({\text{P}}(X = 3) = 0.001\) and \({\text{P}}(X = 4) = 0.0027\).
- 16N.1.hl.TZ0.10a: Show that \({\text{P}}(A \cup B) = {\text{P}}(A) + {\text{P}}(A' \cap B)\).
- 17N.2.hl.TZ0.2c: Hence show that events \(A’\) and \(B\) are independent.
- 17N.2.hl.TZ0.2b: Find \({\text{P}}(A)\).
- 17N.2.hl.TZ0.2a: Find \({\text{P}}(B)\).
- 17M.2.hl.TZ1.1b: Find \({\text{P}}(A' \cap B)\).
- 17M.2.hl.TZ1.1a: Calculate \(k\);
- 15N.2.hl.TZ0.1a: Find \({\text{P}}(A \cap B)\).
- 13M.1.hl.TZ1.13c: The following day Alfred and Beatrice play the 6 games again. Assume that the probability that...
- 13M.1.hl.TZ1.9: Two events A and B are such that \({\text{P}}(A \cup B) = 0.7\) and \({\text{P}}(A|B') =...
- 13M.1.hl.TZ2.4b: Find the probability that Tim and Caz eat the same type of chocolate.
- 11M.1.hl.TZ1.1a: Find the value of \({\text{P}}(A \cup B)\) when(i) \(A\) and \(B\) are mutually...
- 14M.1.hl.TZ2.1: Events \(A\) and \(B\) are such that...
- 15M.1.hl.TZ1.10: A football team, Melchester Rovers are playing a tournament of five matches. The probabilities...
- 15M.1.hl.TZ2.1a: Find \({\text{P}}(A \cap B)\).
- 14N.1.hl.TZ0.4a: Determine the value of \({\text{P}}(A \cup B)\) when (i) \(A\) and \(B\) are mutually...
- 14N.2.hl.TZ0.12c: Find the probability that Ava wins in one of her first three turns.
- 14N.2.hl.TZ0.12d: Find the probability that Ava eventually wins.
Sub sections and their related questions
Combined events; the formula for \(P\left( {A \cup B} \right)\) .
- 13M.1.hl.TZ1.9: Two events A and B are such that \({\text{P}}(A \cup B) = 0.7\) and \({\text{P}}(A|B') =...
- 11M.1.hl.TZ1.1a: Find the value of \({\text{P}}(A \cup B)\) when(i) \(A\) and \(B\) are mutually...
- 14M.1.hl.TZ2.1: Events \(A\) and \(B\) are such that...
- 14N.1.hl.TZ0.4a: Determine the value of \({\text{P}}(A \cup B)\) when (i) \(A\) and \(B\) are mutually...
- 15M.1.hl.TZ2.1a: Find \({\text{P}}(A \cap B)\).
- 15N.2.hl.TZ0.1a: Find \({\text{P}}(A \cap B)\).
- 16M.1.hl.TZ2.7a: Show that \({\text{P}}(A \cup B) = 2p - {p^2}\).
- 16M.1.hl.TZ1.4a: On the Venn diagram shade the region \(A' \cap B'\).
- 16N.1.hl.TZ0.10a: Show that \({\text{P}}(A \cup B) = {\text{P}}(A) + {\text{P}}(A' \cap B)\).
- 16N.2.hl.TZ0.11a: Show that \({\text{P}}(X = 3) = 0.001\) and \({\text{P}}(X = 4) = 0.0027\).
- 17M.2.hl.TZ1.1a: Calculate \(k\);
- 17M.2.hl.TZ1.1b: Find \({\text{P}}(A' \cap B)\).
- 17N.2.hl.TZ0.2a: Find \({\text{P}}(B)\).
- 17N.2.hl.TZ0.2b: Find \({\text{P}}(A)\).
- 17N.2.hl.TZ0.2c: Hence show that events \(A’\) and \(B\) are independent.
- 18M.2.hl.TZ1.8: Each of the 25 students in a class are asked how many pets they own. Two students own three pets...
Mutually exclusive events.
- 13M.1.hl.TZ1.13c: The following day Alfred and Beatrice play the 6 games again. Assume that the probability that...
- 13M.1.hl.TZ2.4b: Find the probability that Tim and Caz eat the same type of chocolate.
- 14N.2.hl.TZ0.12c: Find the probability that Ava wins in one of her first three turns.
- 14N.2.hl.TZ0.12d: Find the probability that Ava eventually wins.
- 15M.1.hl.TZ1.10: A football team, Melchester Rovers are playing a tournament of five matches. The probabilities...