Step-by-step explanation:
(x + y , x - y) = (4 , 2)
x+y=4 ------(1)
x-y=2 ------(2)
_____ (adding two equation)
2x=6
x=3
From equation 1
3+y=4
y=1
Answer:
a) There are 8 possible combinations and each probability is 1/8.
b) The probability that it is a boy given that there are two girls is 3/8
Step-by-step explanation:
a) The sample space is given by:
BBB (3 boys)
BBG (Boy, boy, girl)
BGB (Boy, girl, boy)
BGG (Boy, girl, girl)
GBB (girl, boy, boy)
GBG (girl, boy, girl)
GGB (girl, girl, boy)
GGG (3 girls)
The probability of each combination is the same:
P(BBB)=P(B∩B∩B)=
2) There are three possible combinations in which there are 2 girls and 1 boy:
BGG, GBG, GGB
So the probability is given by:
P(BGG ∪ GBG ∪ GGB)=
First, change the mixed fraction into improper fraction
1 1/7 = 7/7 + 1/7 = 8/7
(4/7)/(8/7)
To solve, flip the second fraction, and change the division into multiplication
(4/7)/(8/7) = (4/7) x (7/8)
Multiply, and simplify
(4/7) x (7/8) = 28/56, or 1/2
1/2 is your answer
hope this helps