DP Mathematics SL Questionbank

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• 10M.1.sl.TZ1.5a(i), (ii) and (iii): Write down the value of (i)     p ; (ii)    q ; (iii)   r.
• 09M.2.sl.TZ1.7b: If the team does not win the game, find the probability that the game was played at home.
• SPNone.1.sl.TZ0.9a(i), (ii) and (iii): (i)     Find ${\rm{P}}(X = 6)$ . (ii)    Find ${\rm{P}}(X > 6)$ . (iii)   Find...
• 13M.1.sl.TZ1.9d: Given that the marble is red, find the probability that it was drawn from jar A.
• 14M.2.sl.TZ2.10a(ii): A tree is selected at random from the forest. Given that this tree is a giant, find the...
• 14N.2.sl.TZ0.10e: $25\%$ of the fish in the lake are salmon. $10\%$ of the salmon are tiddlers. Given that a...
• 16M.2.sl.TZ1.8c: Find ${\text{E}}(B)$.
• 18M.1.sl.TZ2.8e: Two days next week Pablo will drive to work. Find the probability that he will be late at least...
• 12M.1.sl.TZ2.9b: Bag A contains three white balls and four red balls. Two balls are chosen at random without...
• 08M.1.sl.TZ2.6a(i) and (ii): One student is selected at random. (i)     Calculate the probability that the student is a male...
• 09M.1.sl.TZ1.2c: Find ${\rm{P}}(A \cap B)$ .
• 12N.2.sl.TZ0.10d: At a large school, students are required to learn at least one language, Spanish or French. It is...
• 10M.2.sl.TZ1.10b(i) and (ii): (i)     Write down the standardized value, z, for $68{\text{ kg}}$. (ii)    Hence, find the...
• 10M.2.sl.TZ1.10c(i) and (ii): To take part in a tournament, a player’s weight must be within 1.5 standard deviations of the...
• 14M.1.sl.TZ1.9d: Given that Bill wins at least one game, find the probability that he wins both games.
• 15N.2.sl.TZ0.5c: Find ${\text{P}}(C'|D)$.
• 17N.2.sl.TZ0.4a: Find the value of $k$.
• 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.2.sl.TZ1.10d: Of the players in the league, $25\%$ are women. Of the women, $70\%$ take part in the...
• 14N.1.sl.TZ0.8b: Find the probability that Adam will travel by car and be late for school.
• 17N.1.sl.TZ0.1a: Complete the following tree diagram.
• 17N.2.sl.TZ0.4c: Find ${\text{P}}(X = 2|X > 0)$.
• 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...
• 12M.2.sl.TZ2.7a: A factory makes lamps. The probability that a lamp is defective is 0.05. A random sample of 30...
• 12M.2.sl.TZ2.7b: A factory makes lamps. The probability that a lamp is defective is 0.05. A random sample of 30...
• 12M.1.sl.TZ1.4a: Write down the value of t .
• 09N.1.sl.TZ0.8b: One boy is selected at random. (i)     Find the probability that he plays only one...
• 13M.1.sl.TZ1.9c: (i)     Write down the probability that the marble is drawn from jar B. (ii)     Given that the...
• 13M.2.sl.TZ2.9d: Given that at most five of the balls are gold, find the probability that exactly five of the...
• 14M.1.sl.TZ1.9b: Find the probability that Bill wins the first game and Andrea wins the second game.
• 14N.1.sl.TZ0.8d: Given that Adam is late for school, find the probability that he travelled by car.
• 16M.2.sl.TZ1.8d: (i)     Find the probability that there are exactly two breakdowns on Tuesday. (ii)     Given...
• 18M.2.sl.TZ1.5b: Given that P((A ∪ B)′ ) = 0.19, find P(A | B′ ).
• 12N.2.sl.TZ0.10b: 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...
• 10N.1.sl.TZ0.4a: Write down the value of p .
• 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...
• 09M.1.sl.TZ1.2b: Find ${\rm{P}}(B|A)$ .
• 09M.2.sl.TZ1.7a: Find the probability that the team wins the game.
• 10M.2.sl.TZ1.10a: Find the probability that a player weighs more than $82{\text{ kg}}$.
• 16M.2.sl.TZ1.8b: (i)     A day is chosen at random. Write down the probability that Machine A has no...
• 18M.2.sl.TZ1.5a: Find P(A ∩ B′ ).
• 12N.2.sl.TZ0.10a: At a large school, students are required to learn at least one language, Spanish or French. It is...
• 12M.1.sl.TZ1.4b(i) and (ii): (i)     Show that $r = 0.2$ . (ii)    Write down the value of q and of s .
• 12M.1.sl.TZ1.4c(i) and (ii): (i)     Write down ${\rm{P}}(B')$ . (ii)    Find ${\rm{P}}(A|B')$ .
• 13N.2.sl.TZ0.10b: Given that Samantha went to school by bus on Monday, find the probability that it was raining.
• 14N.2.sl.TZ0.8d: A family is chosen at random. (i)     Find the probability that this family lives in an...
• 17M.2.sl.TZ1.9b: Find the value of $\mu$.
• 17M.2.sl.TZ1.9a: Find ${\text{P}}(X < 9)$.
• 17N.1.sl.TZ0.1b: Find the probability that exactly one of the selected balls is green.
• 18M.1.sl.TZ2.8a: Copy and complete the following tree diagram.
• 18M.1.sl.TZ2.8b: Find the probability that Pablo leaves home before 07:00 and is late for work.
• 12M.1.sl.TZ2.9c: Bag A contains three white balls and four red balls. Two balls are chosen at random without...
• 10N.1.sl.TZ0.4b: Find ${\rm{P}}(B)$ .
• 10N.1.sl.TZ0.4c: Find ${\rm{P}}(A'|B)$ .
• 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.
• 13N.2.sl.TZ0.10a: On a randomly selected school day, find the probability that Samantha goes to school by bus.
• 15M.2.sl.TZ1.9c: The company changes to the new standard deviation, $\sigma$, and leaves the mean unchanged. A...
• 15N.2.sl.TZ0.10c: All the medium and large watermelons are delivered to a grocer. The grocer selects a watermelon...
• 16M.2.sl.TZ1.8a: Find $k$.
• 17N.2.sl.TZ0.4b: Write down ${\text{P}}(X = 2)$.
• 18M.1.sl.TZ2.8c: Find the probability that Pablo is late for work.
• 18M.1.sl.TZ2.8d: Given that Pablo is late for work, find the probability that he left home before 07:00.