Question

(b)What is the probability of choosing the letter A at random from the word ALPHABET?

4. One card is chosen at random from a standard pack of cards. Find the probability that the chosen card will be;
(i) a heart
(ii)
an Ace
(iii) a 7
(iv)
a black King
(v) a court card

Answer 1

3b: 1/26

4i: 1/4

4ii: 1/13

4iii 1/13

4iv: 1/13

4v: 3/13

Explanation:

3b. there are 26 letters in the alphabet, and there is only 1 S, thus the answer is 1/26

4i: There are 13 cards in each suite, so there is a 13/52 = 1/4 chance.

4ii: There are four aces (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13

4iii: there are four 7's (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13

4iv: there is a king in each of the suites, therefore the answer is 4/52 = 1/13

4v: there are a total of 12 court cards (4 kings, 4 queens, and 4 jacks) thus the answer is 12/52 = 3/13