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From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.

  • 3/13
  • 1/52
  • 1/4
  • None of above

Answer: Option A

Explanation:

Total number of cases = 52

Total face cards = 12 [favourable cases]



So probability = 12 /52 = 3/13

Similar Questions :

1. What is the probability of getting a sum 9 from two throws of dice.

  • 1/3
  • 1/9
  • 1/12
  • 2/9

Answer: Option B

Explanation:

Total number of cases = 6*6 = 36

Favoured cases = [(3,6), (4,5), (6,3), (5,4)] = 4

So probability = 4/36 = 1/9

2. In a throw of dice what is the probability of getting number greater than 5

  • 1/2
  • 1/3
  • 1/5
  • 1/6

Answer: Option D

Explanation:

Number greater than 5 is 6, so only 1 number
Total cases of dice = [1,2,3,4,5,6]

So probability = 1/6

3. Three unbiased coins are tossed, what is the probability of getting at least 2 tails ?

  • 1/3
  • 1/6
  • 1/2
  • 1/8

Answer: Option C

Explanation:

Total cases are = 2*2*2 = 8, which are as follows
[TTT, HHH, TTH, THT, HTT, THH, HTH, HHT]

Favoured cases are = [TTH, THT, HTT, TTT] = 4

So required probability = 4/8 = 1/2

4. Two unbiased coins are tossed. What is probability of getting at most one tail ?

  • \begin{aligned} \frac{1}{2} \end{aligned}
  • \begin{aligned} \frac{1}{3} \end{aligned}
  • \begin{aligned} \frac{3}{2} \end{aligned}
  • \begin{aligned} \frac{3}{4} \end{aligned}

Answer: Option D

Explanation:

Total 4 cases = [HH, TT, TH, HT]
Favourable cases = [HH, TH, HT]
Please note we need atmost one tail, not atleast one tail.

So probability = 3/4

5. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is

  • 1/13
  • 2/13
  • 1/26
  • 1/52

Answer: Option C

Explanation:

Total number of cases = 52
Favourable cases = 2

Probability = 2/56 = 1/26

Read more from - Probability Questions Answers
Post a comment

  • tera baap 7 years ago

    you fool, there are only 12 face cards

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