4. Percent chance of them
Tree Diagram hit or miss, in decimals.
0.68 Hit
Percent chance of them Mercury
attacking, in decimals.
0.32
5
Miss
1
0.
0.75 Hit
0.1
7 Jupiter 0.25
Miss
0.85 Hit
0.20 Venus 0.1
5
Miss
0.25 0.90 Hit
Mars 0.10
Miss
0.
23 1.00 Hit
Sailor Moon 0.00
Miss
7. (A) what is the sample space?
First of all what is sample space?
Sample space is a list of possible outcomes.
That's one out come: Mercury hit
0.68 Hit
Mercury 0.32
15
0.
Miss
0.75 Hit
7 Jupiter Sample space: { Mercury hit, Mercury miss,
0.1 0.25
Miss Jupiter hit, Jupiter miss, Venus hit, Venus miss,
Mars hit, Mars miss, Sailor moon hit, Sailor
0.85 Hit
0.20 Venus 0.1
moon miss}
5
Miss
0.25 0.90 Hit
Mars 0.10
Miss
0.
23 1.00 Hit
Sailor Moon 0.00
Miss
10. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability We multiple because we
that Mercury hit and all the want a person and a hit.
other hits.
0.68 Hit 0.15 x 0.68 = 0.102
Mercury 0.32
15
Miss
0.
0.75 Hit 0.17 x 0.75 = 0.1275
0.1
7 Jupiter 0.25
Miss
0.20
0.85 Hit 0.20 x 0.85 = 0.17
Venus 0.1
5
Miss
0.25 0.90 Hit 0.25 x 0.90 = 0.225
Mars 0.10
Miss
0.
23 1.00 Hit 0.23 x 1.00 = .23
Sailor Moon 0.00
Miss
11. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability We multiple because we
that Mercury hit and all the want a person and a hit.
other hits.
0.68 Hit 0.15 x 0.68 = 0.102
Mercury 0.32
P( Mercury | hit ) = P ( Mercury hit )
15
Miss
0.
P(hit)
0.75 Hit 0.17 x 0.75 = 0.1275
0.1
7 Jupiter 0.25
Miss
0.20
0.85 Hit 0.20 x 0.85 = 0.17
Venus 0.1
5
Miss
0.25 0.90 Hit 0.25 x 0.90 = 0.225
Mars 0.10
Miss
0.
23 1.00 Hit 0.23 x 1.00 = .23
Sailor Moon 0.00
Miss
12. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability We multiple because we
that Mercury hit and all the want a person and a hit.
other hits.
0.68 Hit 0.15 x 0.68 = 0.102
Mercury 0.32
P( Mercury | hit ) = P ( Mercury hit )
15
Miss
0.
P(hit)
0.75 Hit 0.17 x 0.75 = 0.1275
0.1
7 Jupiter 0.25
Miss = 0.102
0.85 Hit 0.20 x 0.85 = 0.17
0.102 + 0.1275 + 0.17 + 0.225 +0.23
0.20 Venus 0.1
5
Miss
Hit 0.25 x 0.90 = 0.225 P(Mercury | hit) = 0.102
0.25 0.90
Mars 0.10 0.8545
Miss
0.
23 1.00 Hit 0.23 x 1.00 = .23
Sailor Moon 0.00
Miss
13. (B)If the monster was hit what is the probability that it was by Mercury?
The probability that it was Mercury given that it was hit. P( Mercury | hit ) = P ( Mercury hit )
P(hit)
We want to find the probability We multiple because we
that Mercury hit and all the want a person and a hit.
other hits.
0.68 Hit 0.15 x 0.68 = 0.102
Mercury 0.32
P( Mercury | hit ) = P ( Mercury hit )
15
Miss
0.
P(hit)
0.75 Hit 0.17 x 0.75 = 0.1275
0.1
7 Jupiter 0.25
Miss = 0.102
0.85 Hit 0.20 x 0.85 = 0.17
0.102 + 0.1275 + 0.17 + 0.225 +0.23
0.20 Venus 0.1
5
Miss
Hit 0.25 x 0.90 = 0.225 P(Mercury | hit) = 0.102
0.25 0.90
Mars 0.10 0.8545
Miss
0.
23 1.00 Hit 0.23 x 1.00 = .23
Sailor Moon 0.00
Miss P(Mercury | hit) = 0.1194
= 11.94%