If 5 of a Company’s 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen meet emission standards ?
Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number ?
A.
Two dice are thrown then sample space have 6 x 6 = 36 possibilities.
Sum | Case |
2 | 1 |
3 | 2 |
4 | 3 |
5 | 4 |
6 | 5 |
7 | 6 |
8 | 5 |
9 | 4 |
10 | 3 |
11 | 2 |
12 | 1 |
Total cases of prime number = 1 + 2 + 4 + 6 + 2 = 15
Hence, the probability that the sum of the numbers appearing on them is a prime number
=
Hence, option A is correct.
If a coin is tossed till the first head appears, then what will be the sample space ?
{H}
{TH}
{T, HT, HHT, HHHT, ...}
{H, TH, TTH, TTTH, ...}
A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in succession without replacement, then what is the probability that all three books are defective ?
0.0087
0.016
0.026
0.047
A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the probability of getting at most two tails ?
0.16
0.48
0.58
0.98
If three dice are rolled under the condition that no two dice show the same face, then what is the probability that one of the faces is having the number 6 ?
Three cooks X, Y and Z bake a special kind of cake, and with respective probabilities 0.02, 0.03 and 0.05, it fails to rise. In the restaurant where they work, X bakes 50%, Y bakes 30% and Z bakes 20% of cakes. What is the probobility of failures caused by X ?
If A and B are two events such that P(A) = 0.6, P(B) = 0.5 and P(A∩B) = 0.4, then consider the following statements :
Which of the above statements is/are correct ?
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Consider a random variable X which follows Binomial distribution with parameters n = 10 and Then Y = 10 –X follows Binomial distribution with parameters n and p respectively given by
5,
5,
10,