A bag has 2 red marbles, 1 blue marble and 4 gold marbles. What is the probability of drawing two gold marbles, if the first marble is replaced after it is drawn?
i think its 16/49
yes its 16/49 your correct
To calculate the probability of drawing two gold marbles with replacement, we need to know the total number of marbles in the bag and the number of gold marbles.
In this case, the bag has a total of 2 red marbles + 1 blue marble + 4 gold marbles = 7 marbles.
The probability of drawing a gold marble on any single draw is the number of gold marbles divided by the total number of marbles: 4 gold marbles / 7 total marbles = 4/7.
Since we replace the first gold marble back into the bag after drawing, the probability of drawing a gold marble on the second draw is also 4/7.
To find the probability of drawing two gold marbles in succession, we multiply the probabilities of each individual draw: (4/7) * (4/7) = 16/49.
Therefore, the probability of drawing two gold marbles with replacement is 16/49.
ahh, how is this one different from the previous one???
tell me what you think?