hi, this is my question:
past records show that in a typica week in september it rains on 4 days out of 7.
A) Copy the tree diagram and fill in the proibabilities for the first and second saturdays in sepember. (tree diagram below) ( WR= will rain, WNR= will not rain)
have i filled it in correct? if not where am i going wrong.
Referring to the tree diagram.....
It will rain on at least one Saturday if it rains on the first Saturday and doesn't on the second,
or..... it doesn't rain on the first Saturday and it rains on the second,
or....it rains on both Saturdays.
That's 3 options.
The probabilities you've written indicate that there is a 4/7 chance it'll rain on a Saturday.
Hence the successful outcomes (rains on at least one Saturday) are...
In each of these cases we multiply the probabilities at each stage
R NR means it rains the first Saturday and doesn't rain on the second Saturday.
From your tree diagram, multiply those probabilities
That probability corresponds to one of the four final branches.
There are 2 more.
Independently calculate those probabilities as above and then sum all 3 answers for the 3 branches.