Potatoes have been genetically modified to increase resistance to pests and have a longer shelf life.

Of the potatoes with genetic modifications there is a 75% probability that the resistance to pests has been increased and a 50% probability that the shelf life has been increased. The probability that a...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

Potatoes have been genetically modified to increase resistance to pests and have a longer shelf life.

Of the potatoes with genetic modifications there is a 75% probability that the resistance to pests has been increased and a 50% probability that the shelf life has been increased. The probability that a potato has an increased resistance to pests and was engineered to have a longer shelf life is 30%.

Of all the potatoes there is a 0.75*0.3 = 22.5% probability that it has both the qualities.

The probability that a potato picked at random has an increased resistance to pests, but was not engineered to have a longer shelf life is 0.75*(0.7) = 0.525

**The required probability is 52.5%**