The sample space of an experiment is S={a, b, c, d, e, f}. What is the probability of picking a consonant? Write your answer in the simplest fraction form.

Question

(1 point)

A. 1/3
B. 2/6
C. 2/3
D. 3/2

Answer 1

B. 2/6

Answer 2

Explanation?

Answer 3

In the sample space S={a, b, c, d, e, f}, there are a total of 6 elements. Out of these 6 elements, 4 are consonants (b, c, d, f).

So, the probability of picking a consonant is the number of favorable outcomes (picking a consonant) divided by the total number of possible outcomes.

Therefore, the probability of picking a consonant is 4 (number of consonants) / 6 (total number of elements in the sample space) = 4/6 = 2/3.

So, the answer is B. 2/6.

Answer 4

A deck of 10 cards labeled 1–10 is shuffled. One card is selected at random. If the experiment is repeated 120 times, how many times will you expect to select number 5? (1 point)

Answer 5

Since each card in the deck of 10 cards is equally likely to be selected, the probability of selecting the number 5 is 1/10.

If the experiment is repeated 120 times, the expected number of times to select number 5 can be calculated by multiplying the probability of selecting number 5 by the total number of repetitions.

Expected number of times to select number 5 = Probability of selecting number 5 × Total number of repetitions
Expected number of times to select number 5 = (1/10) × 120 = 12

Therefore, you would expect to select number 5 12 times if the experiment is repeated 120 times.

Answer 6

Letter tiles H, O, N, E, S, T are shuffled and placed in a box. A letter is selected at random. What is the probability of selecting letter A ? (1 point)

Answer 7

The letter tiles available are H, O, N, E, S, and T. A letter A is not present among the tiles provided.

Therefore, the probability of selecting the letter A is 0 because the letter A is not part of the available tiles.