Probability word problem

In a group of 30 students, there are 14 girls and 4 of them can speak French. 6 of the 16 boys can speak French. If a student is selected randomly from the group, find the probability that the selected student:

a) can speak French:

b) is a boy:

c) is a girl who can speak French:

see below

Step-by-step explanation:

A can speak french

There are 10 students who can speak french, 4 girls and 6 boys

P(french) = speak french/ total

                = 10/30

                  = 1/3

B is a boy

There are 16 boys

P (boy) = boys/total

            = 16/30

             8/15

C girl who can speak french

There are 4 girls who can speak french

P (girl who can speak french) = girl who can speak french/ total

                                                   =4/30

                                                     2/15

a) 1/3

b) 8/15

c) 2/15

Step-by-step explanation:

Total students: 30

Girls: 14

Boys: 30 - 14 = 16

French speaking: 4 + 6 = 10

a) P(French speaking) = 10/30

1/3

b) P(boy) = 16/30 = 8/15

c) P(French speaking girl) = 4/30

= 2/15

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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