Sign in to jmaths to print this page or save it as a PDF: jmaths-8ce638778fd6.herokuapp.com/maths/ai-hl/probability/13-1-1/problems/b/

jmaths

IB Mathematics: Applications and Interpretation HL · 13.1: Probability · 13.1.1

Name Date

Theoretical and experimental probability Problem set B

Give a probability as a fraction in its simplest form, or as a decimal when the numbers in the question are decimals. Show your working.

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. A card is taken at random from 15 cards numbered 1 to 15. Find the probability that the number is

    1. (a) a multiple of 4
    2. (b) greater than 11

  2. The probability that a plant produces no flowers in a season is 0.27. Find the probability that it produces at least one flower.

  3. A seed germinates with probability 0.85. A gardener plants 240 seeds. Find the expected number that germinate.

  4. A random sample of 150 eggs is checked and 12 are cracked. Estimate the probability that an egg is cracked.

In context

  1. The 10 letters of the word STATISTICS are written on separate tiles. One tile is chosen at random. Find the probability that

    1. (a) the letter is I
    2. (b) the letter is a vowel

  2. In a random sample of 250 households, 65 recycle glass. A city has 4800 households.

    1. (a) Estimate the probability that a household recycles glass.
    2. (b) Estimate how many of the city's households recycle glass.

  3. A family has 5 children. Each child is equally likely to be a boy or a girl. Find the probability that at least one is a girl.

Stretch

  1. A fair four-sided spinner is numbered 1 to 4. It is spun 3 times. Find the probability that it lands on 4 at least once.

  2. A club member wins a raffle prize with probability 0.35. The expected number of prizes is 56. How many raffles does the member enter?

jmaths.xyz · AI HL · 13.1.1 Theoretical and experimental probability