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Question Detail
From a pack of 52 cards, two cards are drawn together, what is the probability that both the cards are kings
- 2/121
- 2/221
- 1/221
- 1/13
Answer: Option C
Explanation:
\begin{aligned}
\text{Total cases =} ^{52}C_2 \\
= \frac{52*51}{2*1} = 1326 \\
\text{Total King cases =} ^{4}C_2 \\
= \frac{4*3}{2*1} = 6 \\
\text{Probability =} = \frac{6}{1326}\\
= \frac{1}{221} \\
\end{aligned}
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. 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
3. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
- 2/3
- 8/21
- 3/7
- 9/22
Answer: Option B
Explanation:
Total number of balls = (8 + 7 + 6) = 21
Let E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.
Therefore, n(E) = 8.
P(E) = 8/21.
4. 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
5. From a pack of 52 cards, two cards are drawn together, what is the probability that both the cards are kings
- 2/121
- 2/221
- 1/221
- 1/13
Answer: Option C
Explanation:
\begin{aligned}
\text{Total cases =} ^{52}C_2 \\
= \frac{52*51}{2*1} = 1326 \\
\text{Total King cases =} ^{4}C_2 \\
= \frac{4*3}{2*1} = 6 \\
\text{Probability =} = \frac{6}{1326}\\
= \frac{1}{221} \\
\end{aligned}
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