In a non-leap year, the probability of having 53 Tuesdays or 53 Wednesdays is
\(\tfrac{1}{7}\)
\(\tfrac{2}{7}\)
\(\tfrac{3}{7}\)
none of these
Three numbers are chosen from 1 to 20. Find the probability that they are not consecutive
\(\tfrac{186}{190}\)
\(\tfrac{187}{190}\)
\(\tfrac{188}{190}\)
\(\tfrac{18}{\binom{20}{3}}\)
While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards are of different colours
\(\tfrac{29}{52}\)
\(\tfrac{1}{2}\)
\(\tfrac{26}{51}\)
\(\tfrac{27}{51}\)
Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is
\(\tfrac{1}{3}\)
\(\tfrac{1}{6}\)
\(\tfrac{2}{7}\)
\(\tfrac{1}{2}\)
Without repetition of the digits, four-digit numbers are formed with the digits 0, 2, 3, 5. The probability of such a number being divisible by 5 is
\(\tfrac{1}{5}\)
\(\tfrac{4}{5}\)
\(\tfrac{1}{30}\)
\(\tfrac{5}{9}\)
If A and B are mutually exclusive events, then
\(P(A) \le P(\overline{B})\)
\(P(A) \ge P(\overline{B})\)
\(P(A) < P(\overline{B})\)
none of these
If \(P(A \cup B) = P(A \cap B)\) for any two events A and B, then
\(P(A) = P(B)\)
\(P(A) > P(B)\)
\(P(A) < P(B)\)
none of these
Six boys and six girls sit in a row at random. The probability that all the girls sit together is
\(\tfrac{1}{432}\)
\(\tfrac{12}{431}\)
\(\tfrac{1}{132}\)
none of these
A single letter is selected at random from the word "PROBABILITY." The probability that it is a vowel is
\(\tfrac{1}{3}\)
\(\tfrac{4}{11}\)
\(\tfrac{2}{11}\)
\(\tfrac{3}{11}\)
If the probabilities for A to fail is 0.2 and for B is 0.3, then the probability that either A or B fails is
> 0.5
0.5
\(\le 0.5\)
0
The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then \(P(\overline{A}) + P(\overline{B})\) is
0.4
0.8
1.2
1.6
If M and N are any two events, the probability that at least one of them occurs is
\(P(M)+P(N)-2P(M\cap N)\)
\(P(M)+P(N)-P(M\cap N)\)
\(P(M)+P(N)+P(M\cap N)\)
\(P(M)+P(N)+2P(M\cap N)\)