Final answer:
The probability of John pulling a blue marble from the bag is 3 out of 21, which is approximately 0.1 or 10% when rounded to the nearest tenth.
Step-by-step explanation:
The student has asked about the probability that John will pull a blue marble from a bag containing a total of 21 marbles of various colors. To find the probability of John pulling out a blue marble, we calculate the ratio of the number of blue marbles to the total number of marbles.
John has 3 blue marbles out of a total of 21 marbles (6 red + 3 blue + 7 yellow + 5 green = 21 marbles). To determine the probability, divide the number of blue marbles by the total number:
Probability = Number of blue marbles / Total number of marbles
Probability = 3/21
To express this probability as a decimal, divide 3 by 21, which gives us 0.142857. If rounding to the nearest tenth is necessary, the result is approximately 0.1 or 10%.
Therefore, the probability that the marble John pulls out will be blue is 0.1 or 10% when rounded to the nearest tenth.