Question

11. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following.

(a) A heart or a black card
(b) A heart or a jack
(c) A heart and the ace of clubs
(d) A 9 or a jack
(e) The 9 of hearts or a jack

Answer 1

1. 3/4
2. 4/13
3. 7/26
4. 2/13
5. 5.52

Explanation:

(a)

• Probability (A heart or a black card) = 13 + 26 / 52
• Probability (A heart or a black card) = 39/52
• Probability (A heart or a black card) = 3/4

(b)

• Probability (A heart or a jack) = 13 + 3 / 52
• Probability (A heart or a jack) = 16/52
• Probability (A heart or a jack) = 4/13

(c)

• Probability (A heart and the ace of clubs) = 13 + 1 / 52
• Probability (A heart and the ace of clubs) = 14/52
• Probability (A heart and the ace of clubs) = 7/26

(d)

• Probability (A 9 or a jack) = 4 + 4 / 52
• Probability (A 9 or a jack) = 8/52
• Probability (A 9 or a jack) = 2/13

(e)

• Probability (The 9 of hearts or a jack) = 1 + 4 / 52
• Probability (The 9 of hearts or a jack) = 5/52