I need help. Here's the queston.
Julia has 3 red marbles, 4 blues,3 yellow and 6 black in a bag. She takes one out at random.
The probability its black ___
The probability its yellow ___
The probability it isnt red ___
Okay so there are 16 colors in all.
so the variable that it's black is 0/16 because there are no black.
the variable its yellow is 3/16.
the variable it isnt red is 13/16
Shortee missed the fact that there are 6 black marbles in the bag, so the probability of black is 6/16 or 3/8. However, the rest of his information is correct.
All he is doing is taking the number of drawings that fit the description and dividing by the total number of possibilities.
I hope this helps a little more. Thanks for asking.
To find the probability of each event, you need to divide the number of favorable outcomes by the total number of possible outcomes.
1. The probability that the marble drawn is black:
- There are a total of 3 red marbles, 4 blue marbles, 3 yellow marbles, and 6 black marbles.
- The number of favorable outcomes (black marbles) is 6.
- The total number of possible outcomes is 3 (red) + 4 (blue) + 3 (yellow) + 6 (black) = 16.
- Therefore, the probability of drawing a black marble is 6/16, which simplifies to 3/8.
2. The probability that the marble drawn is yellow:
- Similarly, the number of favorable outcomes (yellow marbles) is 3.
- The total number of possible outcomes is still 16.
- Therefore, the probability of drawing a yellow marble is 3/16.
3. The probability that the marble drawn is not red:
- To find this probability, we can subtract the probability of drawing a red marble from 1 (since the opposite event is not drawing a red marble).
- The probability of drawing a red marble is 3/16 (as calculated earlier).
- Therefore, the probability of not drawing a red marble is 1 - 3/16, which simplifies to 13/16.
Thus, the probability its black is 3/8, the probability its yellow is 3/16, and the probability it isn't red is 13/16.