DP Mathematics SL Questionbank

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Directly related questions

• 18M.1.sl.TZ2.8e: Two days next week Pablo will drive to work. Find the probability that he will be late at least...
• 18M.1.sl.TZ2.8d: Given that Pablo is late for work, find the probability that he left home before 07:00.
• 18M.1.sl.TZ2.8c: Find the probability that Pablo is late for work.
• 18M.1.sl.TZ2.8b: Find the probability that Pablo leaves home before 07:00 and is late for work.
• 18M.1.sl.TZ2.8a: Copy and complete the following tree diagram.
• 18M.2.sl.TZ1.9e: The grocer selects two boxes at random. Find the probability that the grocer buys more than half...
• 18M.2.sl.TZ1.9d: Find the probability that the grocer buys more than half the oranges in a box selected at random.
• 18M.2.sl.TZ1.9c: To the nearest gram, find the minimum weight of an orange that the grocer will buy.
• 18M.2.sl.TZ1.9b.ii: Hence, find the value of σ.
• 18M.2.sl.TZ1.9b.i: Find the standardized value for 289 g.
• 18M.2.sl.TZ1.9a: Find the probability that an orange weighs between 289 g and 310 g.
• 12N.2.sl.TZ0.10a: At a large school, students are required to learn at least one language, Spanish or French. It is...
• 12N.2.sl.TZ0.10b: At a large school, students are required to learn at least one language, Spanish or French. It is...
• 12N.2.sl.TZ0.10c(i) and (ii): At a large school, students are required to learn at least one language, Spanish or French. It is...
• 12N.2.sl.TZ0.10d: At a large school, students are required to learn at least one language, Spanish or French. It is...
• 12M.1.sl.TZ2.9a(i) and (ii): Bag A contains three white balls and four red balls. Two balls are chosen at random without...
• 12M.1.sl.TZ2.9b: Bag A contains three white balls and four red balls. Two balls are chosen at random without...
• 12M.1.sl.TZ2.9c: Bag A contains three white balls and four red balls. Two balls are chosen at random without...
• 08N.1.sl.TZ0.5b(i) and (ii): Given that \({\text{P}}(A \cup B) = 0.8\) , (i)     find x ; (ii)    find...
• 08M.1.sl.TZ2.6a(i) and (ii): One student is selected at random. (i)     Calculate the probability that the student is a male...
• 10N.1.sl.TZ0.4a: Write down the value of p .
• 10N.1.sl.TZ0.4b: Find \({\rm{P}}(B)\) .
• 10N.1.sl.TZ0.4c: Find \({\rm{P}}(A'|B)\) .
• 10M.1.sl.TZ1.5a(i), (ii) and (iii): Write down the value of (i)     p ; (ii)    q ; (iii)   r.
• 10M.1.sl.TZ1.5b: Find the value of \({\rm{P}}(A|B')\) .
• 10M.1.sl.TZ1.5c: Hence, or otherwise, show that the events A and B are not independent.
• 10M.1.sl.TZ2.9a(i) and (ii): Find (i)     \({\rm{P}}(E \cap F)\) ; (ii)    \({\rm{P}}(F)\) .
• 10M.1.sl.TZ2.9b(i) and (ii): Find the probability that (i)     José misses his bus and is not late for school; (ii)    José...
• 10M.1.sl.TZ2.9c: The cost for each day that José catches the bus is 3 euros. José goes to school on Monday and...
• 10M.1.sl.TZ2.9d: The cost for each day that José catches the bus is 3 euros. José goes to school on Monday and...
• 09N.2.sl.TZ0.6: Consider the independent events A and B . Given that \({\rm{P}}(B) = 2{\rm{P}}(A)\) , and...
• 10M.2.sl.TZ2.3a: Jan tosses the two dice once. Find the probability that she wins a prize.
• 10M.2.sl.TZ2.3b: Jan tosses the two dice 8 times. Find the probability that she wins 3 prizes.
• 11N.1.sl.TZ0.3c: Find the probability that one marble is red and one marble is blue.
• 11N.1.sl.TZ0.3a: Write down the probability that the first marble Anna selects is red.
• 11N.1.sl.TZ0.3b: Find the probability that Anna selects two red marbles.
• 11M.1.sl.TZ1.8a(i), (ii) and (iii): (i)     Write down the value of s . (ii)    Find the value of q . (iii)   Write down the value...
• 11M.1.sl.TZ1.8b(i) and (ii): (i)     A student is selected at random. Given that the student takes music, write down the...
• 11M.1.sl.TZ1.8c: Two students are selected at random, one after the other. Find the probability that the first...
• 11M.2.sl.TZ1.7a: Find the probability that it passes inspection.
• 11M.2.sl.TZ1.7b: The company would like the probability that a box passes inspection to be 0.87. Find the...
• 08M.1.sl.TZ1.10c: Guiseppi plays a game where he rolls the die. If a blue face lands down, he scores 2 and is...
• 08M.1.sl.TZ1.10e: If the total score is 3, Guiseppi wins \(\$ 10\). If the total score is 2, Guiseppi gets...
• 14M.1.sl.TZ1.5: Celeste wishes to hire a taxicab from a company which has a large number of taxicabs. The...
• 14M.2.sl.TZ2.4b: Find \({\text{P}}(A \cup B)\).
• 15M.1.sl.TZ1.10c: Find the probability that Ann wins the game.
• 14N.1.sl.TZ0.8c: Find the probability that Adam will be late for school.
• 17M.2.sl.TZ2.10d: Grant plays the game until he wins two prizes. Find the probability that he wins his second prize...
• 17M.2.sl.TZ2.B10c: Jill plays the game nine times. Find the probability that she wins exactly two prizes.
• 17M.2.sl.TZ2.10b.iii: The bag contains a total of ten marbles of which \(w\) are white. Find \(w\).
• 17M.2.sl.TZ2.10b.ii: Explain why the probability of drawing three white marbles is \(\frac{1}{6}\).
• 17M.2.sl.TZ2.10b.i: Write down the probability of drawing three blue marbles.
• 17M.2.sl.TZ2.10a.ii: Find \(p\).
• 17M.2.sl.TZ2.10a.i: Find \(q\).
• 17M.1.sl.TZ1.1b: A girl is selected at random. Find the probability that she takes economics but not history.
• 17M.1.sl.TZ1.1a.ii: Find the value of \(q\).
• 17M.1.sl.TZ1.1a.i: Find the value of \(p\);