Make this chart:
Catholic|Protestant|Christians
-------------|--------|----------|----------
Right-handed | | |
-------------|--------|----------|----------
Left-handed | | |
-------------|--------|----------|----------
Total % | | | 100%
A recent survey found that about 18.2% of Christians were Protestants,We fill in 18.2% for the total percent of Protestants. Then we subtract
that from 100% and fill in 81.8% for the total percent of Catholics.
Catholic|Protestant|Christians
-------------|--------|----------|----------
Right-handed | | |
-------------|--------|----------|----------
Left-handed | | |
-------------|--------|----------|----------
Total % | 81.8% | 18.2% | 100%
and of those (Protestants), 21.1% were left-handed.We take 21.1% of 18.2% and fill in 3.8402% for the
total percent of left-handed Protestants. Then subtract
that from 18.2% and fill in 14.3598% for the total % of
Right-handed Protestants:
Catholic|Protestant|Christians
-------------|--------|----------|----------
Right-handed | |14.3598% |
-------------|--------|----------|----------
Left-handed | | 3.8402% |
-------------|--------|----------|----------
Total % | 81.8% | 18.2% | 100%
Right-handed people, however, make up 70.6% of the Catholics. We take 70.6% of 81.8% and fill in 57.7508% for the
total percent of Right-handed Catholics. Then subtract
that from 81.8% and fill in 24.0492% for the total % of
Left-handed Catholics:
Catholic|Protestant|Christians
-------------|--------|----------|----------
Right-handed |57.7508%|14.3598% |
-------------|--------|----------|----------
Left-handed |24.0492%| 3.8402% |
-------------|--------|----------|----------
Total % | 81.8% | 18.2% | 100%
Then we finish the table by adding the percentages of right-handed
and left-handed Catholics and the percentages of right-handed
and left-handed Catholics. We fill in the total percentages of Right-handed
Christians as 72.1106% for Right-handed Christians and 27.8894% as
the total percentages of Left-handed Christians.
Catholic|Protestant|Christians
-------------|--------|----------|----------
Right-handed |57.7508%|14.3598% | 72.1106%
-------------|--------|----------|----------
Left-handed |24.0492%| 3.8402% | 27.8894%
-------------|--------|----------|----------
Total % | 81.8% | 18.2% | 100%
We now check to see if we have done our calculations correctly by adding
the percentages of right and left handed Christians to see if we get 100%.
We do!
Choose one Christian at random. Find the probability that the Christian is a
left-handed Catholic.We see that the probability is 24.0492%.
Edwin