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- Question
Consider 5 independent Bernoulli?s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ?
Options- A. [1, 32]
- B. (0, 1)
- C. [1, 1/2]
- D. (1, 1/2]
- Correct Answer
- [1, 1/2]
ExplanationProbability of atleast one failure
= 1 - no failure > 31/32
= 1 - > 31/32
= 1/32
= p < 1/2
Also p > 0
Hence p lies in [0,1/2]. - 1. The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is
Options- A. 5/12
- B. 4/13
- C. 5/13
- D. 3/14 Discuss
- 2. The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?
Options- A. 3/70
- B. 4/70
- C. 9/70
- D. 1/50 Discuss
- 3. A three-digit number is formed with the digits 1, 2, 3, 4, 5 at random. What is probability that number formed is divisible by 5 ?
Options- A. 1/4
- B. 1/5
- C. 1/2
- D. 3/4 Discuss
- 4. If p:q are the odds in favour of an event,then the probability of that event is:
Options- A. p/q
- B. p/(p+q)
- C. q/(p+q)
- D. none Discuss
- 5. A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options- A. 3/7
- B. 4/7
- C. 1/8
- D. 3/4 Discuss
- 6. There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ?
Options- A. 1/10
- B. 1/9
- C. 1
- D. 0 Discuss
- 7. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
Options- A. 2/13
- B. 1/13
- C. 1/26
- D. 1/52 Discuss
- 8. An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?
Options- A. 1/12
- B. 1/9
- C. 3/4
- D. 1/2 Discuss
- 9. One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probability that the ball drawn is an ace :
Options- A. 1/13
- B. 1/12
- C. 1/14
- D. 1/15 Discuss
- 10. The probabilities that A and B will tell the truth are 2 / 3 and 4 / 5 respectively . What is the probability that they agree with each other ?
Options- A. 3/5
- B. 1/3
- C. 2/5
- D. 3/4 Discuss
Probability problems
Search Results
Correct Answer: 4/13
Correct Answer: 9/70
Explanation:
Let A be the event of driver A drive safely after consuming liquor.
Let B be the event of driver B drive safely after consuming liquor.
Let C be the event of driver C drive safely after consuming liquor.
P(A)=2/5,P(B)=3/7,P(C)=3/4
The events A, B and C are independent . Therefore,
Therefore, The probability that all the drivers will drive home safely after consuming liquor is 9/70
Correct Answer: 1/5
Correct Answer: p/(p+q)
Explanation:
Total number of cases=p+q
Favourable cases=p
Probability of that event is=p/(p+q)
Correct Answer: 4/7
Explanation:
Let number of balls = (6 + 8) = 14.
Number of white balls = 8.
P (drawing a white ball) = 8 /14=4/7.
Correct Answer: 0
Explanation:
As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address
P(E) = favorable outcomes /total outcomes
Here favorable outcomes are '0'.
So probability is '0'.
Correct Answer: 1/26
Explanation:
Here, n(S) = 52.
Let E = event of getting a queen of club or a king of heart.
Then, n(E) = 2.
P(E) =n(E)/n(S)=2/52=1/26.
Correct Answer: 1/2
Explanation:
Total numbers in a die=6
P(mutliple of 3) = 2/6 = 1/3
P(multiple of 4) = 1/6
P(multiple of 3 or 4) = 1/3 + 1/6 = 1/2
Correct Answer: 1/13
Explanation:
Total number of events=52
Number of aces =4
So,required probability = 4/52 =1/13
Correct Answer: 3/5
Explanation:
Let A be the event of A will tell truth. B be the event of B tell truth
When both agree then they say true or they say false together, that is
Also these events will be mutually exclusive :
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