The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest rates on housing loans will go up in the same period is estimated to be 0.74. The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89

The probability that house sales will increase but interest rates will not during the next 6 months is

A. 0.065

B. 0.15

C.0.51

D.0.89

the events increase in house sales and increase in interest rates are

A. not independent

B. independent

C. collectively exhaustive

D. collectively exhaustive

E. mutually exclusive and collectively exhaustive

please show work!!