Matching probability question help! Medal Rewarded!!

- anonymous

Matching probability question help! Medal Rewarded!!

- schrodinger

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- anonymous

In a group of 100 persons, 85 had Rh positive blood (Rh factor present), 45 had Type O blood, and 38 had both type O and Rh positive blood. If one person had been selected at random from the group, what would the probability be:
1. that his blood type was Type O and Rh+? A. 3 /20
2. that his blood type was not O? B. 17/20
3. that his blood type was Rh-? C . 93/100
4. that his blood type was Type O and Rh-? D. 11/20
5. that his blood type was Rh+? E. 7/100
6. that his blood type was not Type O or else was Rh+? F. 19/50

- amistre64

a venn might be usefull

- anonymous

whats that

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## More answers

- amistre64

its a diagraham that defines sets with circles

- anonymous

Oh where can I find it

- amistre64

|dw:1366391420781:dw|

- anonymous

Oh

- amistre64

|dw:1366391462898:dw|

- amistre64

if we add the 3 sections we get: 85+45-38 = 92 so there must be 8 people in the setup that had neither Rh or O

- anonymous

ok..Im following

- amistre64

|dw:1366391683621:dw|

- amistre64

this helps us define the numbers involved and the combinations that they ask for

- amistre64

1. that his blood type was Type O and Rh+? A. 38 /100
2. that his blood type was not O? B. (100 - 45)/100
3. that his blood type was Rh-? (not RH) C. (100 - 85)/100
4. that his blood type was Type O and notRh? D. 45/100 * C
5. that his blood type was Rh+? E. 85/100
6. that his blood type was not Type O or else
was Rh+? F. B + E

- anonymous

One question just so I know Im reading the diagram right. Is Rh. n. O , Rh.NOT.O?

- amistre64

there are 2 symbols in set theory; "n" and "u"
n = AND
u = OR

- anonymous

ohh I see, makes sense.

- amistre64

"and" defines the intersection (commonality) of sets

- amistre64

im thinking F might be off

- anonymous

so #1 from what I see is A
#2 is D

- amistre64

|dw:1366392293192:dw|
notO or Rh is: (100-7)/100
i had a repetition in there

- anonymous

Ok now Im a bit confused.

- amistre64

notO includes the areas: 47, 8
Rh includes the areas: 47, 38
if we add these together to find the probability of notO or Rh, im doubling an area.

- anonymous

oh

- amistre64

4. that his blood type was Type O and notRh? this one might be off as well
|dw:1366392674723:dw|
the commonality of O "and" notRH is spose to be 7/100

- amistre64

other than that, i think its sound :)

- anonymous

so was I right about #1 and #2

- amistre64

yes, it might help to rewrite the options in 100 format
A. 15/100
B. 85/100
C . 93/100
D. 55/100
E. 7/100
F. 38/100
that should be more intuitive

- anonymous

okay Thanks

- amistre64

good luck :)

- anonymous

@aussy123, @amistre64 has been quicker than me. I was preparing these tables for you. In the first table you have the given data in green and the calculated data in yellow. The other sisx tables correspond to each question of the problem where I have shaded in green the data to consider. Though late, I hope it helps

##### 1 Attachment

- anonymous

Oh Cool thats very helpful! Thanks to the both of you!!

- amistre64

nice tables, im not sure if i could process those in that manner ...

- anonymous

@amistre64, thanks. They are known as contingency tables in Statistics

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