Question

Geom help please will give brainliest

Answer 1

Try this option:

1] P(S)=0.84;

2] P(S or C, but not both)=0.4;

3] P(C)=0.76;

4] P(S∪C)=0.6;

5] P(C, but not S)=0.16;

6] P(S∩C)=1.00.

Answer 2

Answer:

We are given with a Venn diagram.

In Venn Diagram,

S represent Swam

C represent Built Sandcastles.

n( S - (S∩C) ) = 6

n( C - (S∩C) ) = 4

n( S ∩ C ) = 15

To find: P(S) , P(C) , P(S or C, but not Both) = P((S∪C) - (S∩C)) , P( S ∪ C ) ,

P(S ∩ C) , P(C , but not S ) =  P(C - (S∩C))

n(S) = n( S - (S∩C) ) + n(S∩C) = 6 + 15 = 21

n(C) = n( C - (S∩C) ) + n(S∩C) = 4 + 15 = 19

n(S∪C) = n( C - (S∩C) ) + n( S - (S∩C) ) + n(S∩C) = 6 + 4 + 15 = 25

Now, $P(S)=\frac{21}{25}=0.84$

$P(S\:or\:C,\:but\:not\:Both)=P((S\cup C)-(S\cap C))=\frac{10}{25}=0.40$

$P(C)=\frac{19}{25}=0.76$

$P(S\cup C)=\frac{25}{25}=1.00$

$P(C\:,\:but\:not\:S)=P(C - (S\cap C))=\frac{4}{25}=0.16$

$P(S\cap C)=\frac{15}{25}=0.60$

Therefore, Match the answers as above.