AkshdeepS
A bag contains 6 red marbles and 4 white marbles. Alpha selects a marble from the bag at random, records its color and places it back in the bag. Then, Navarro selects a marble from the bag at random. What is the probability that Alpha and Navarro both select white marbles.
1. 4/25
2. 9/25
3. 2/5
4. 3/5
5. 4/5
Given: A bag contains 6 red marbles and 4 white marbles. Alpha selects a marble from the bag at random, records its color and places it back in the bag. Then, Navarro selects a marble from the bag at random.
Asked: What is the probability that Alpha and Navarro both select white marbles.
Probability that Alpha selects white marbles = \(\frac{4}{10}\)
Probability that Navarro selects white marbles = \(\frac{4}{10}\)
Probability that both select white marbles \(= \frac{4}{10} * \frac{4}{10} = \frac{2}{5} * \frac{2}{5} = \frac{4}{25}\)
IMO A