A bag contains 9 blue coins and 7 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction.
HELP ME!!
To find the probability of removing a blue coin, we need to consider the total number of coins and the number of blue coins in the bag.
Step 1: Find the total number of coins in the bag.
The bag contains 9 blue coins and 7 red coins. So, the total number of coins is 9 + 7 = 16.
Step 2: Determine the probability of removing a blue coin.
Since there are 9 blue coins, the probability of selecting a blue coin on the first draw is 9/16.
Step 3: Account for replacing the coin.
After removing a coin, we replace it with three coins of the other color. So now, the bag contains 9 blue coins + 3 red coins = 12 blue coins and 7 red coins.
Therefore, the probability of removing a blue coin is still 9/16.
Hence, the probability of the removed coin being blue is 9/16.