Question

—statistics and probability, rules of probability

Answer 1

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:

$A_{n} = n!$

Desired outcomes

First red(10 - (5+2) = 3 possible)

Last red(2 possible).

Middle 8 arranged in any way.

So

$D = 3*A_{8}*2 = 3*8!*2 = 241920$

Total outcomes:

Arrangements of 10 elements. So

$T = A_{10} = 10! = 3628800$

What is the probability that the first and last blouse are both red?

$p = \frac{D}{T} = \frac{241920}{3628800} = 0.067$

The correct answer is given by option B.