Select the correct answerA goldsmith has a bag, which contains some colourful stones. It contains 4 white and 8 black stones. There is another bag which contains 5 white and 5 black stones. One stone is to drawn from either of the two bags. What is the probability of drawing a white stone?Options5/128/137/1311/12
Question
Select the correct answerA goldsmith has a bag, which contains some colourful stones. It contains 4 white and 8 black stones. There is another bag which contains 5 white and 5 black stones. One stone is to drawn from either of the two bags. What is the probability of drawing a white stone?Options5/128/137/1311/12
Solution
To solve this problem, we first need to calculate the total number of stones in each bag and the total number of white stones in each bag.
In the first bag, there are 4 white stones and 8 black stones, so there are 4 + 8 = 12 stones in total. The probability of drawing a white stone from this bag is 4/12 = 1/3.
In the second bag, there are 5 white stones and 5 black stones, so there are 5 + 5 = 10 stones in total. The probability of drawing a white stone from this bag is 5/10 = 1/2.
Since we can draw a stone from either of the two bags, we need to average the two probabilities to get the overall probability of drawing a white stone. This is done by adding the two probabilities and dividing by 2.
So, the overall probability of drawing a white stone is (1/3 + 1/2) / 2 = 5/12.
Therefore, none of the options provided are correct.
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