Two number cubes are rolled for two separate events: All of the combinations of numbers on both cubes that give a sum less than 10.
All combinations of numbers on both cubes that give a sum that is a multiple of 3.
a. In terms of a reduced fraction, find the conditional probability of B given that A occurs first. Fill in the blanks P( __ l __ ) = __ / __
b. Complete the conditional-probability formula for event B given that event A occurs first by writing A and B in the blanks: P( __ l __ ) = P( __ ∩ __ ) / P( __ )
c. List the members of the sample space for event A ∩ B.
d. List the members of the sample space for event A.

Three times the sum of a number and seven is negative thirty-six. what is the number?

Tommy buys a sweater that is on sale for 40% off the original price. the expression p -0.4p can be used to find the sale price of the sweater, where p is the original price of the sweater. if the original price of the sweater is 50, what is the sale price?

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.