Max has three blue and two red shirts. on each day of the three days, monday, tuesday and wednesday, he selects one shirt at random to wear. max wears each shirt that he selects only once.
i)what is the probability that maxwell will wear a blue shirt on monday?
ii)what is the probability that maxwell will wear a shirt of the same color on all three days?
iii)what is the probability that maxwell will not wear a shirt of the same color on consecutive days?

1) 3/5

2)40%

3)60%

Step-by-step explanation:

since both sides equal, there are infinitely many olutions.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: