The probability that Sam works from home on Monday is 0.4 - OCR - GCSE Maths - Question 24 - 2023 - Paper 1

To complete the tree diagram, we need to determine the probabilities of Sam not working from home on both days.

• The probability that Sam does not work from home on Monday is given by:

  $P(\text{Not Working on Monday}) = 1 - P(\text{Working on Monday}) = 1 - 0.4 = 0.6$

• The probability that Sam works from home on Friday is 0.2, so the probability that he does not work from home on Friday is:

  $P(\text{Not Working on Friday}) = 1 - P(\text{Working on Friday}) = 1 - 0.2 = 0.8$

Therefore, the completed tree diagram will look like this:

       Monday                Friday
       -------             -------
Works from home  0.4 --> Works from home  0.2
       |                |
       |                |
       |                Does not work from home  0.8
       |                |
Does not work from home 0.6 -->