Question
If all possible results are equally likely, what is the probability that a spin of the spinner will land on an upper case letter or a consonant?
A. 0.7
B. 0.9
C. 0.5
D. 0.3
A. 0.7
B. 0.9
C. 0.5
D. 0.3
Answers
GPT 3.5
To find the probability of landing on an upper case letter or a consonant, we need to first determine the total number of upper case letters and consonants on the spinner.
Let's assume the spinner has 6 equal sections:
- 2 upper case letters: A, B
- 4 consonants: B, C, D, F
There is an overlap between the upper case letter B and the consonant B, so we need to count it only once when summing them up. Therefore, there are a total of 5 possible outcomes that are either upper case letters or consonants.
The probability of landing on an upper case letter or a consonant is the number of favorable outcomes (5) divided by the total number of possible outcomes (6), which is:
5/6 = 0.8333
Since this value is not one of the answer choices, the best option is the one that is closest to the calculated probability, which is A. 0.7.
Let's assume the spinner has 6 equal sections:
- 2 upper case letters: A, B
- 4 consonants: B, C, D, F
There is an overlap between the upper case letter B and the consonant B, so we need to count it only once when summing them up. Therefore, there are a total of 5 possible outcomes that are either upper case letters or consonants.
The probability of landing on an upper case letter or a consonant is the number of favorable outcomes (5) divided by the total number of possible outcomes (6), which is:
5/6 = 0.8333
Since this value is not one of the answer choices, the best option is the one that is closest to the calculated probability, which is A. 0.7.