can you make this a bit shorter

To calculate the theoretical probability of spinning letters C and E, we need to consider the total number of possible outcomes and the number of favorable outcomes where we spin C and E.
Total possible outcomes when spinning 2 letters with repetition from the word CLEAN:
There are 5 possible outcomes for each spin (C, L, E, A, N). Since we are spinning 2 letters, the total possible outcomes = 5 x 5 = 25.

Favorable outcomes where we spin C and E:
There is only 1 favorable outcome where we spin C and E.

Theoretical probability = Number of favorable outcomes / Total possible outcomes
Theoretical probability = 1 / 25
Theoretical probability = 0.04

The theoretical probability of spinning letters C and E is 0.04, which is significantly lower than the approximate probability calculated in part (c) (0.2267). This difference can be attributed to the fact that in the theoretical probability calculation, we are considering all possible outcomes equally likely, while in reality, the spinner may have biases or imperfections that affect the likelihood of certain outcomes.

1 answer

To calculate the theoretical probability of spinning letters C and E from the word CLEAN, we consider the total possible outcomes (25) and the number of favorable outcomes (1 where we spin C and E). The theoretical probability is 0.04, lower than the approximate probability calculated earlier (0.2267). This difference is due to biases or imperfections in the spinner.