Probability tables – Hard

Last updated: 20/07/2021
OCR GCSE Maths – Foundation Probability Probability tables – Hard
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  1. Current
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  3. Answered

  1. Poppy asks her year 12 class what accessories they are wearing for a survey. If she picks a student at random, what is the probability they will be a female who wears a scarf?

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  2. Roger fills a bag full of coloured cubes and squares and asks his friend to take out a shape at random. What is the probability that his friend takes out a white cube or a black square?

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  3. Fred fills a bag up with brown, yellow and orange shapes. He then asks his friend to take out one. If the shape taken out was a pentagon, what is the probability it was yellow?

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  4. A class survey is taken on the accessories that year 9 students wear. What is the probability of picking a male who wears a hairband or a male who wears glasses?

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  5. A class is asked what pets they own and the results are noted. A person is picked at random for a prize. What is the probability that they will be a boy who owns a dog?

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  6. Lydia is throwing a party and asks all her guests whether they like dark chocolate, popcorn or crisps. If a person likes popcorn, what is the probability that they will be a girl?

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  7. A person is randomly selected from a class, what is the probability that they will be a female with blonde hair or a male?

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  8. Mr Smith asks his class what their favourite colour is and then picks a student. If a female is picked, what is the probability that their favourite colour is orange?

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  9. A class of 100 are asked on their hair colour and the results are noted. How many people would you expect to have black hair?

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  10. Jessie fills a bag with red, blue and green balls and counters. All together the bag contains 200 objects. How many red counters and blue balls would you expect to find in the bag?

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  11. An ice cream van records what is sold throughout a day at the beach, and picks a person at random to give them a refund. What is the probability that the person would have had an ice cream?

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  12. Jack notes down the accessories that people are wearing in the street as they walk past. If a person from that list was picked at random, what is the probability that they would be male?

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  13. Will fills a bag up with different coloured pens and pencils and selects one at random with his eyes closed. If he picks out a pencil, what is the probability that it will be silver?

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  14. Georgia puts silver, yellow and brown pens and pencils into a bag and picks one at random. What is the probability of selecting a silver pen or a yellow pencil?

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  15. Kai notes down all the student’s hair colour in his form group and then picks a student at random. What is the probability that they will be a female with brown hair or a female with red hair?

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  16. Josh asks his staff what accessories they wear at home and fills out the table. What is the probability that a female will wear a belt or a male will wear a hairclip?

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  17. George asks his class on their favourite type of candy and picks a student at random to reveal their result. What is the probability that they are a boy who prefers fizzy drinks or a girl who prefers liquorice?

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  18. Sara asks her classmates on what type of pet they have and fills out a table. She picks a person at random, what is the probability that they are a female who owns a turtle or a female who owns a goldfish?

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  19. An owner of a tech shop surveys their customers on what new object they would like to see in her shop. A person is picked at random and given the object for free. If a microphone was given out, what is the probability that the person was male?

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  20. Mrs Parker notes down all the hair colours of her English class and then uses a random name generator to select a student. If she picks a person with grey hair, what is the probability that they are female?

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  21. David surveyed his work place to see what types of accessories they wore when travelling to work. He puts the answers in a hat and randomly takes one out. What is the probability that a person will wear a hat or will be male?

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  22. Fred fills a bag up with brown, yellow and orange shapes. He then asks his friend to take out one. If the shape taken out was a pentagon, what is the probability it was yellow?

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  23. An owner of a hardware shop surveys their customers on what new object they would like to see in his shop. A person is picked at random and given the object for free. What is the probability that the person is a female who said a monitor or a male who said headphones?

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  24. Ella wants to bring in sweets for all of her year at the end of term and surveys what sweets people like. If she hands out a sweet to a random person, what is the probability that they will be a male who likes soft sweets or a female who likes chocolate?

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  25. Owen is throwing a party and wants to know how many people like fizzy drinks, popcorn and ice cream. If a person is selected at random, what is the probability that they will be a male who likes ice cream or a female who likes popcorn?

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