27.5k views
2 votes
Loni is the first to take a ball from a bin containing ten rubber balls of different colors. She selects a blue one. Erica is the second to take a ball and selects a red one. Carlos tosses a coin that comes up heads. Jennifer tosses a coin that also comes up heads. What is the probability that both Loni and Erica select balls of the same color?

1 Answer

3 votes

Final answer:

Without the full color composition of the balls, the exact probability of Loni and Erica selecting balls of the same color cannot be calculated. Probability in such scenarios is generally determined by the remaining amount of the chosen color over the total remaining balls.

Step-by-step explanation:

The question involves calculating the probability that Loni and Erica select balls of the same color. With the initial information given, it's not possible to provide an exact answer because the total composition of the balls' colors in the bin was not specified. However, we can discuss the concept of probability generally. If Loni selects a blue ball and the bin had multiple colors with more than one blue ball, then Erica's chance of selecting a blue one would depend on the remaining number of blue balls and the total number of balls left.

If there were for instance four blue balls in total, Loni picking one would leave three blue balls. If there were ten balls initially, one would be removed, leaving nine. So, if no other color information is given, the probability of Erica picking a blue ball after Loni is the quantity of remaining blue balls divided by the total remaining balls. Here, it would be 3/9 if the conditions were as hypothesized.

User M Shafique
by
6.8k points