At Roberta's cafe half of her regular customers order her famous low-fat chicken sandwich. The probability of a regular customer ordering the chicken sandwich and losing weight last month was 40%. What is the probability of someone losing weight given that they regularly ordered the sandwich?

The probability of losing weigth given that the sandwich was ordered is 80%.

Step-by-step explanation:

The probability of a regular costumer ordering the sandwich is said to be 50% and the probability of someone ordering that sandwich and losing weight is 40%. So we the probability of someone losing weigth if the sandwich was ordered is:

sandwich and losing weigh = (ordering sandwich) * losing weigth

losing weigth = (sandwich and losing weigth) / (ordeing sandwich)

losing wiegh = 40%/0.5 = 80%

The probability of losing weigth given that the sandwich was ordered is 80%.