Question

23. The letters of the alphabet are written on

cards and placed in a brown paper bag. What

is the probability of drawing a consonant,replacing it, and then drawing a Z?

Answer 1

The probability of drawing a consonant, replacing it, and then drawing a Z is 19/676.

Step-by-step explanation:

The probability of drawing a consonant, replacing it, and then drawing a Z can be calculated as follows:

1. First, let's determine the probability of drawing a consonant from the bag. There are 19 consonants in the English alphabet, so the probability of drawing a consonant is 19/26.
2. Next, since the consonant is replaced, the probability of drawing the letter Z is also 1/26.
3. To find the overall probability, we multiply the probabilities of the two events together: (19/26) * (1/26) = 19/676.

Therefore, the probability of drawing a consonant, replacing it, and then drawing a Z is 19/676.

Answer 2

21/676

Step-by-step explanation:

The total number of letters of the alphabet will be the total outcome which is 26 alphabets.

If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets

Total consonants in the alphabet is 21.

Probability of drawing consonants = 21/26.

Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.

Probability of drawing a letter Z will be 1/26.

Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;

21/26×1/26

= 21/676