10 Question MCQ (including Assertion)

Assertion (A) : In a cricket match, a batsman hits a boundary 9 times out of 45 balls he plays. The probability that in a given ball, he does not hit the boundary is \(\frac{4}{5}\).

Reason (R) : \(\mathrm{P}(\mathrm{E})+\mathrm{P}(\) not E\()=1\)

A box contains 90 discs, numbered from 1 to 90 . If one disc is drawn at random from the box, the probability that it bears a prime-number less than 23, is:

If \(\mathrm{P}(\mathrm{A})\) denotes the probability of an event A , then

Someone is asked to take a number from 1 to 100 . The probability that it is a prime is

Two dice are thrown together. The Probability of getting the same number on both dice is

A card is drawn at random from a pack of 52 cards. The probability that the drawn card a face card of club

Assertion (A) : If probability of happening of an event is 0.2p, p > 0, then p can't be more than 5.
Reason (R) : \(\mathrm{P}(\overline{\mathrm{E}})=1-\mathrm{P}(\mathrm{E})\) for an event E .

Two different dice are rolled together. The probability that both the obtained numbers are less than 4 , is

A school has five houses A, B, C, D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from \(A\), \(B\) and \(C\) is