SOLUTION: 3. Which of the following experiments does NOT have equally likely outcomes? Choose a number at random from 1 to 7. Toss a coin. Choose a letter at random from the wor

Question 302159: 3. Which of the following experiments does NOT have equally likely outcomes?

Choose a number at random from 1 to 7.
Toss a coin.
Choose a letter at random from the word SCHOOL.
None of the above.
RESULTS BOX:
I am a substitute teacher who teaches K-6. I can complete all the probability problems except this one that I found on a web-site. I must have a mental block.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Choose a number at random from 1 to 7.
Toss a coin.
Choose a letter at random from the word SCHOOL.
None of the above.

I believe the third choice would not have an equally likely probability for each of the letters to be picked.

For the first choice, the numbers are 1,2,3,4,5,6,7 with equal probability to pick any one of them because there is only one of each number.

There are 7 letters and each has a probability of 1/7 to be picked.

For the second choice, the possibilities are heads or tail with equal probability to pick any one of them because there is only one of each possibility.

There are 2 possible outcomes and each has a probability of 1/2 to be picked.

With the word SCHOOL, the probability for the letter O to come up is two times the probability for any of the other letters which have only one of each.

Total letters are 6.

Probability of S = 1/6
Probability of C = 1/6
Probability of H = 1/6
Probability of O = 2/6 *****
Probability of L = 1/6

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