Answer:
B. 0.067
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Number of arrangements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
Desired outcomes
First red(10 - (5+2) = 3 possible)
Last red(2 possible).
Middle 8 arranged in any way.
So
[tex]D = 3*A_{8}*2 = 3*8!*2 = 241920[/tex]
Total outcomes:
Arrangements of 10 elements. So
[tex]T = A_{10} = 10! = 3628800[/tex]
What is the probability that the first and last blouse are both red?
[tex]p = \frac{D}{T} = \frac{241920}{3628800} = 0.067[/tex]
The correct answer is given by option B.
