Liam has 4 black shirts and 6 white shirts in his closet. he also has 5 black ties and 3 white ties in his drawer. if liam reaches into the closet and takes out a shirt at random, then reaches into the drawer and takes out a tie at random, then the probability that the shirt and the tie are the same color can be written as a fraction a/b. what is such fraction?

The fraction is 19/40

Step-by-step explanation:

The probability that the shirt and the tie are the same color is the sum of probability that Liam choose a white shirt and a white tie with the probability that Liam choose a Black shirt and a Black tie.

So, The probability that Liam choose a white shirt and a white tie is:

Because Liam has 10 shirts and 6 of them are white and Liam has 8 ties and 3 of them are white.

At the same way, the probability that Liam choose a Black shirt and a Black tie is:

Because Liam has 10 shirts and 4 of them are black and Liam has 8 ties and 5 of them are black.

Finally, The probability that the shirt and the tie are the same color  is:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column