12 counters in total, 6 yellow counters, 2 pink counters, and 4 green counters.
what is the theoretical probability of picking a yellow counter in simplest form? ____
options:
30%
50%
70%
100%
Joan picks a random counter out of the bag 10 times, and she got a yellow counter 7 times. What is the experimental probability of picking a yellow? ____
options:
30%
50%
70%
100%
Theoretical probability of picking a yellow counter:
Total counters = 12
Number of yellow counters = 6
Theoretical probability = Number of favorable outcomes / Total number of outcomes
Theoretical probability = 6 / 12
Theoretical probability = 1 / 2
Theoretical probability = 0.5 or 50%
Experimental probability of picking a yellow counter:
Number of times Joan picked a yellow counter = 7
Total number of times Joan picked a counter = 10
Experimental probability = Number of favorable outcomes / Total number of outcomes
Experimental probability = 7 / 10
Experimental probability = 0.7 or 70%
Therefore, the theoretical probability of picking a yellow counter is 50% and the experimental probability is 70%.
Correct options:
Theoretical probability: 50%
Experimental probability: 70%
Letters: m, o, d, e, l, s.
Probability: 1/6, 1/6, 1/6, 1/6, 1/6, 1/6.
Use the uniform probability model to find the probability of selecting a consonant letter from the word MODELS.
A. 1/6
B. 1/3
C. 1/36
D. 2/3
In the word MODELS, the consonant letters are M, D, L, and S, which are 4 out of 6 total letters.
The probability of selecting a consonant letter from the word MODELS is the sum of the individual probabilities of selecting each consonant letter:
Probability = Probability of selecting M + Probability of selecting D + Probability of selecting L + Probability of selecting S
Probability = 1/6 + 1/6 + 1/6 + 1/6
Probability = 4/6
Probability = 2/3
Therefore, the probability of selecting a consonant letter from the word MODELS is 2/3.
Correct option: D. 2/3