A money bag has twenty 1-dollar coins and thirty 2-dollar coins.A coin is randomly selected from the bag.What is the probability of selecting a 2-dollar coin?[Give your answer as a decimal.]
Question
A money bag has twenty 1-dollar coins and thirty 2-dollar coins.A coin is randomly selected from the bag.What is the probability of selecting a 2-dollar coin?[Give your answer as a decimal.]
Solution
Step 1: Identify the total number of coins in the bag.
We have 20 1-dollar coins and 30 2-dollar coins. So, the total number of coins is 20 + 30 = 50 coins.
Step 2: Identify the number of favorable outcomes.
The question asks for the probability of selecting a 2-dollar coin. There are 30 2-dollar coins, so there are 30 favorable outcomes.
Step 3: Use the formula for probability to find the answer.
The formula for probability is:
P(Event) = Number of favorable outcomes / Total number of outcomes
So, the probability of selecting a 2-dollar coin is:
P(2-dollar coin) = Number of 2-dollar coins / Total number of coins = 30 / 50 = 0.6
So, the probability of selecting a 2-dollar coin is 0.6.
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