a bag contains 7 red, 4 white, and 6 blue marbles. find the probability of obtaining a white marble in a single draw.
To find the probability of obtaining a white marble in a single draw, we need to calculate the ratio of the number of favorable outcomes (drawing a white marble) to the total number of possible outcomes (drawing any marble).
The total number of marbles in the bag is given as:
Total marbles = 7 red + 4 white + 6 blue = 17 marbles.
The number of favorable outcomes (drawing a white marble) is given as:
Favorable outcomes = 4 white marbles.
Therefore, the probability of drawing a white marble can be calculated as:
Probability = Favorable outcomes / Total outcomes
Probability = 4 white marbles / 17 total marbles
Simplifying the ratio gives:
Probability = 4/17
Therefore, the probability of obtaining a white marble in a single draw is 4/17.
To find the probability of obtaining a white marble in a single draw, we need to compare the number of white marbles to the total number of marbles in the bag.
In this case, there are 7 red marbles, 4 white marbles, and 6 blue marbles, giving us a total of 7 + 4 + 6 = 17 marbles.
Probability is defined as the number of desired outcomes divided by the number of possible outcomes.
In this case, the number of desired outcomes is 4 (we want to draw a white marble), and the number of possible outcomes is 17 (the total number of marbles).
Therefore, the probability of obtaining a white marble in a single draw is 4/17 or approximately 0.235 (rounded to three decimal places).
To summarize: Probability (P) = Number of desired outcomes / Total number of outcomes P(White Marble) = 4 / 17 ≈ 0.235
4 white in bag of 17
4/17