A box contains identical cards on each card a letter of the English alphabet is printed.A card is selected at random from the box and not replaced and a second card is then selected. Find the probability that two cards selected(I) have vowels printed?

Answer 1

There are 26 letters in the English alphabet, of which 5 are vowels (a, e, i, o, u). Since each card is identical and there are 26 cards in the box, the probability of selecting any one card is 1/26.

To find the probability of selecting two cards with vowels printed, we need to use the concept of conditional probability. The probability of selecting a vowel on the first draw is 5/26, since there are 5 vowels in the box. After the first card is selected and not replaced, there are only 25 cards left in the box, of which 4 are vowels (since one vowel has already been selected). Therefore, the probability of selecting a vowel on the second draw, given that a vowel was selected on the first draw, is 4/25.

To find the probability of both events occurring (i.e., selecting two cards with vowels printed), we need to multiply the probabilities of each event together, since they are independent:

P(selecting a vowel on the first draw) x P(selecting a vowel on the second draw, given that a vowel was selected on the first draw) = (5/26) x (4/25)

Simplifying this expression, we get:

(5/26) x (4/25) = 20/650 = 2/65

Therefore, the probability of selecting two cards with vowels printed is 2/65

Answer 2

there are 26 letters in the English Alphbet.

There are also 5 vowels ; a.e.i.o.u.

P(2 vowels) = 5/26 X 4/25 = 1/13 X 2/5 = 2/65 = 0.0307

Answer 3

d