Beib owns three white and five blue T-shirts. He chooses a T-shirt at random for himself and puts it on. He then chooses another T-shirt at random, from the remaining T-shirts, and gives it to his brother.
- What is the probability that Beib chooses a blue T-shirt for himself? (1 mark)
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- Complete the tree diagram by writing the correct probability on each branch. (2 marks)
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- Calculate the probability that both of the T-shirts are the same colour. (2 marks)
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Show Answers Only
- `5/8`
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- `13/28`
Show Worked Solution
i. `P(B)= (text(number of blue T-shirts))/(text(total number of T-shirts)) = 5/8`
ii.
iii. `Ptext((same colour))`
`= P(text(WW)) + P(text(BB))`
`= 3/8 xx 2/7 + 5/8 xx 4/7`
`= 6/56 + 20/56`
`= 13/28`