Two baskets contains snacks. The baskets contain 15 bags of peanuts, of which 6 are reduced sodium and 8 granola bars, of which 2 are reduced sodium. If you randomly select one snack from each basket, what is the probability that both snacks are reduced sodium and 1 snack is a bag of peanuts and the other is a granola bar?

Question

Two baskets  contains snacks. The baskets contain 15 bags of peanuts, of which 6 are reduced sodium and 8 granola bars, of which 2 are reduced sodium. If you randomly select one snack from each  basket, what is the probability that both snacks are reduced sodium and 1 snack is a bag of peanuts and the other is a granola bar?

anonymous · Answer

p = p(low sodium nuts then low sodium granola) + p(low sodium granola then low sodium nuts) 
= 6/23 x 2/22 + 2/23 x 6/22 
= 24/506 
= 12/253