Question

A science teacher keeps a bag of dice, all the same size, for classroom activities. Of the 15 dice, 4 are red, 5 are black, 2 are blue, and 4 are green. What is the probability that a randomly drawn die will not be black?

0.500
0.333
0.667
0.600
Find the probability that a random day of school will not be canceled.
0.001
0.349
0.999
0.500

Answer 1

The probability that a randomly drawn die will not be black is 0.667.

Step-by-step explanation:

To find the probability that a randomly drawn die will not be black, we need to calculate the ratio of the number of non-black dice to the total number of dice. In this case, there are 4 red dice, 2 blue dice, and 4 green dice, which gives us a total of 10 non-black dice. The total number of dice is 15. So the probability is:

Probability = (Number of non-black dice) / (Total number of dice)

Probability = 10 / 15 = 0.667

Therefore, the probability that a randomly drawn die will not be black is 0.667.

Answer 2

1. The probability of drawing a non-black die is C. 0.667, and 2. the probability that school will not be canceled on a random day, given that cancellation is almost zero, is A. 0.999.

Question 1:
The science teacher has a total of 15 dice, with the following color distribution:
- 4 red dice
- 5 black dice
- 2 blue dice
- 4 green dice
To find the probability that a randomly drawn die will not be black, we need to determine the number of dice that are not black and divide that number by the total number of dice.
The number of non-black dice is the sum of the red, blue, and green dice:
Number of non-black dice = 4 (red) + 2 (blue) + 4 (green) = 10
Now, the total number of dice is 15.

So, the probability that a die drawn at random is not black is the number of non-black dice divided by the total number of dice:
Probability not black

= Number of non-black dice / Total number of dice
= 10 / 15
= 2 / 3
Converting the fraction to a decimal to match the answer choices:
Probability not black ≈ 0.667

Question 2:
The statement says that the probability of school cancellation is almost zero. This means that it is extremely unlikely for the school to be canceled.
If the probability of cancellation is almost zero, then the probability of school not being canceled is almost certain, or almost 1.
Since we're looking for the probability that a random day of school will not be canceled, and we know that the probability of cancellation is almost zero, the probability of not being canceled is nearly the opposite of almost zero. Thus, the probability that school will not be canceled on any given day is nearly 1.
The answer that corresponds to "nearly 1" from the choices given is: A. 0.999

Question:

1. A science teacher keeps a bag of dice, all the same size, for classroom activities. Of the 15 dice, 4 are red, 5 are black, 2 are blue, and 4 are green. What is the probability that a randomly drawn die will not be black?

A. 0.500

B. 0.333

C. 0.667

D. 0.600

2. A sample collected of the chances of school being canceled in a state, showed that the probability of school cancellation is almost zero. Find the probability that a random day of school will not be canceled

A. 0.999

B. 0.500

C. 0.349

D. 0.001