Comment
The fair die will roll 1 3 5 three times out of six or 3/6 which can be reduced down to 1/2.
Chips There are 3 chips all together. Two of them are red. That means that she has 2/3 chances of pulling up a red
Combine
When you have 2 events that are independent of one another, then the probabilities are multiplied together. The red chips cannot be left at 2/3 for example, because a "win" depends on the die coming up odd. The 2/3 must go down.
P(die_odd) * P(red_chip) = 2/3 * 1/2 = 1/3
Answer 1/3 <<<<
Comment
Notice the probability is lower than either one of the givens.