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IB Mathematics: Applications and Interpretation SL · 13.1: Probability · 13.1.4

Name Date

Probability from two-way tables Problem set B

Total every row and column first. Show the numbers you divide, and give each probability as a fraction in lowest terms (a decimal too if it is exact).

Each question matches the question with the same number in set A. Do the ones you got wrong there.

Difficulty: first skills applying them stretch

Skills

  1. The table shows the members of a fitness centre who joined each class in one week. One member is chosen at random. Find the probability that:

    ClassMorningEveningYoga2231Spin1738Swim2814
    1. (a) the member joined swim;
    2. (b) the member came in the morning.

  2. The table shows the drink and size ordered by customers at a café in one hour. One customer is chosen at random. Find the probability that the customer:

    DrinkSmallMediumLargeTea263415Coffee224830
    1. (a) ordered coffee and ordered a medium drink;
    2. (b) ordered tea or ordered a large drink (or both).

  3. The table shows the type of pet and the type of home of the families in a survey.

    PetFlatHouseCat1426Dog941Fish219
    1. (a) One family who has a dog is chosen at random. Find the probability that this family lives in a flat.
    2. (b) One family who lives in a house is chosen at random. Find the probability that this family has fish.

  4. The table shows the flavour and the size of the ice creams sold at a kiosk. One ice cream that is in a tub is chosen at random. Find the probability that this ice cream is vanilla.

    FlavourConeTubWaferVanilla241620Mango183210

In context

  1. The table shows the juice bottles on a shop shelf, by flavour and size. There are 150 bottles in all, and the number in the Orange row, Large column is k.

    FlavourLargeSmallApple2416Orangek30Berry1422
    1. (a) Find the value of k.
    2. (b) One bottle is chosen at random. Find the probability that the bottle is orange.
    3. (c) One bottle that is small is chosen at random. Find the probability that this bottle is berry.

  2. The table shows the sport played and the age group of the players in a league. One player is chosen at random.

    SportUnder 1616 or overFootball2431Rugby1826Hockey2229
    1. (a) Find the probability that the player does not play football.
    2. (b) Given that the player does not play football, find the probability that the player is 16 or over.

Stretch

  1. One hundred and sixty customers answered a survey about a new app. The table is partly filled in.

    VerdictUnder 3030 or overTotalLiked it70?96Did not like it??64Total10060160
    1. (a) Copy the table and find the missing numbers.
    2. (b) One customer is chosen at random. Find the probability that the customer liked the app and is 30 or over.
    3. (c) One customer who is under 30 is chosen at random. Find the probability that this customer did not like the app.

jmaths.xyz · AI SL · 13.1.4 Probability from two-way tables