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Probability, SM-Bank 091

In an experiment, a 6-sided die is thrown a number of times and the results are listed below.
 


 

  1. What is the relative frequency of getting a 2? Give your answer as a decimal.  (1 mark)
  2. If this experiment was repeated 160 times, how many times would you expect to throw a 2?  (1 mark)
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Probability, SM-Bank 090

A coin is tossed and the results are as follows, where heads and Tails.

  1. What is the relative frequency of getting a Head?  (1 mark)
  2. If the trial was repeated 42 times, how many times would you expect to toss a head?  (1 mark)
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Probability, SM-Bank 089

The fish in a pond are to be removed for the pond to be cleaned. There are 4 different types of coloured carp in the pond.

Calculate the probability that the first carp captured is orange, given the probability of capturing:

  • a red carp is
  • a white carp is and
  • a mulit-coloured carp is .  (2 marks)
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Probability, SM-Bank 088

A spinner with equal divisions has the numbers 1, 2 and 3 printed on it.

The probability of spinning the number 2 is and the probability of spinning the number 3 is .

What is the probability of spinning the number 1?  (2 marks)

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Probability, SM-Bank 087

A bag contains a number of identical red, blue and green discs.

The probability of drawing a red disc is and the probability of drawing a blue disc is .

What is the probability of drawing a green disc?  (2 marks)

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Probability, SM-Bank 085

Jordan and Degas play a board game with the spinner shown.
 

 
Jordan spins the arrow.

  1. What is the probability that Jordan spins an even number?  (1 mark)
  2. To win the game you must spin an odd number.
    What is the probability that Jordan will win the game on the next spin?  (1 mark)

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Probability, SM-Bank 083

The letters from the word KITCHEN are written on cards and one is drawn at random.

  1. List the elements of the sample space.  (1 mark)
  2. List the favourable outcomes if the letter chosen is NOT a vowel (a,e, i, o, u).  (1 mark)
  3. For the letter chosen, find (letter is a vowel).  (1 mark)
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Probability, SM-Bank 081

Guy is going to throw a ten sided dice labelled with the numbers 1 to 10.

He is interested in the likelihood of various events.

  1. List the sample space for throwing this dice.  (1 mark)
  2. List the favourable outcomes if Guy wants a number greater than 7.  (1 mark)
  3. List the favourable outcomes if Guy wants an odd number less than 5.  (1 mark)
  4. Which of the events from (b) and (c) above is more likely?  (1 mark)
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Probability, SM-Bank 080

Ahmed rolled a standard 6-sided dice a number of times. He noticed after numerous rolls that the 5 and 6 were twice as likely to occur than any of the other numbers.

Use the numbers 1, 2, 3, 4, 5 and 6 on the spinner below to create a spinner that would give the same results.  (1 mark)
 

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Probability, SM-Bank 069

Wendy has a number of different types of flowers as shown in the table below. 
 

  1. What is the probability that a randomly selected flower will be either a carnation or a tulip?  (2 marks)
  2. What is the probability that a randomly selected flower will not be a rose?  (2 marks)

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Probability, SM-Bank 067

A bag of coloured balls contains 10 blue balls, 12 white balls, 5 black balls, 2 red balls, and 9 orange balls.

Joyce grabs a ball from the bag without looking what is inside.

What is the probability that she grabs an white ball?  (1 mark)

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Probability, SM-Bank 066

A bag contains different coloured balls.

It contains 4 red balls, 8 green balls, 3 pink balls, 6 grey balls and 11 yellow balls.

Nathalie picks a ball from the bag without looking.

  1. What is the chance that she draws a grey ball?  (1 mark)
  2. What is the chance that the ball she draws in not pink?  (2 marks)

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Probability, SM-Bank 063

Victoria runs a pet store that sells pure breed dogs.

She has several dogs in the shop from different breeds.
 


 

  1. If one of Victoria's dogs is chosen at random, what is the probability it will be either a labrador or a pug?  (1 mark)

  2. If one of the dogs is chosen at random, what is the probability that the dog is not a bulldog?  (2 marks)
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Probability, SM-Bank 062

Tristan's laundromat has a lost clothing basket that contains only black and white socks.

The probability of randomly picking a black sock from the basket is 35%.

What is the probability of randomly picking a white sock?  (1 mark)

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Probability, SM-Bank 061

Chusi uses this net to make a dice.
 

  
  1. Chusi rolls the dice once. What is the chance that Chusi will roll a 2? (1 mark)
  2. Chusi makes up a game and to win the game you must roll a number larger than 2.
    What is the chance that Chusi will win the game on her next roll?  (1 mark)

  3. If Chusi rolls the dice 108 times, how many times could she expect to win the game?  (1 mark)
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