A bag is filled with 200 silver coins and 123 gold coins. What is the theoretical probability of NOT pulling out a silver coin?
I keep gettin this wrong .How can i do this ?
Not silver ----> gold coin
you have 123 golds out of a total of 323
prob(not silver) = 123/323
Well, I must say, that's quite a lot of coins you've got there! So, let me help you calculate the probability of not pulling out a silver coin.
First, we need to determine the total number of coins in the bag, which is the sum of silver and gold coins. So it's 200 + 123 = 323 coins.
Now, we can calculate the probability of not pulling out a silver coin. Since there are 200 silver coins in the bag, the probability of pulling out a silver coin in one attempt is 200/323.
To find the probability of not getting a silver coin, we subtract the probability of getting one from one: 1 - (200/323).
To simplify: 1 - (200/323) = (323/323) - (200/323) = 123/323.
So, the theoretical probability of not pulling out a silver coin is 123/323.
And remember, if you still get it wrong, just know that the probability of you becoming a coin magician is much higher! Keep practicing!
To find the theoretical probability of not pulling out a silver coin, we need to calculate the total number of coins in the bag and the number of coins that are not silver.
Total coins in the bag = 200 (silver) + 123 (gold) = 323 coins
Now, the number of coins that are not silver = 123 (gold coins).
The theoretical probability of not pulling out a silver coin can be calculated as follows:
Probability = Number of favorable outcomes / Number of possible outcomes
Number of favorable outcomes = number of coins that are not silver = 123
Number of possible outcomes = total number of coins = 323
Therefore, the theoretical probability of not pulling out a silver coin is 123/323 or approximately 0.38 (rounded to two decimal places).
To find the theoretical probability of not pulling out a silver coin from the bag, we need to know the total number of coins in the bag and the number of silver coins in the bag.
In this case, the total number of coins in the bag is 200 + 123 = 323, and the number of silver coins in the bag is 200.
The probability of not pulling out a silver coin can be calculated by subtracting the probability of pulling out a silver coin from 1.
To calculate the probability of pulling out a silver coin, divide the number of silver coins by the total number of coins:
Probability of pulling out a silver coin = Number of silver coins / Total number of coins
= 200 / 323
Now, to find the probability of not pulling out a silver coin:
Probability of not pulling out a silver coin = 1 - Probability of pulling out a silver coin
= 1 - (200 / 323)
To get a numerical value, you can calculate the above expression:
Probability of not pulling out a silver coin ≈ 1 - (200 / 323) ≈ 0.381