Probability asked in UK PSC 2021 FRO #shorts

The probability of hitting a target in any shot is 0.5 If 10 shorts are fired , find the probability that the target will be hit in an odd number of times .

Course materials are sent to students by a distance education institution. The probability that they will send a wrong programme’s study material is 1/5 . There is a probability of 3/4 that the package is damaged in transit, and there is a probability of 1/3 that there is a short shipment. What is the probability that the complete material for the course arrives without any damage in transit ?

The probability of hitting a target in any shot is 0.2 If 10 shorts are fired , find the probability that the target will be hit at least twice. [ Given: (0.8)^9= 0. 1342]

Dev can hit a target 3 xx in 6 shorts Pawan can hit the target 2 xx in 6 shorts and Lakhan can hit the target 4 xx in 4 shorts. What is the probability that at least 2 shorts hit the target (2)/(3) (b) (1)/(3) (c) (1)/(2) (e) None of these

The number lock of a suitcase has 4 wheels with 10 digits, i.e. fro 0 to 9. The lock open with a sequence of 4 digits with repeats allowed. What is the probability of a person getting the right sequence to open the suit case?

A clerk was asked to mail three report cards to three students.He addresses three envelopes but unfortunately paid no attention to which report card be put in which envelope.What is the probability that exactly one of the students received his or her own card?

The probability that A speaks truth is 5/6 , while this probability for B is 4/5 .The probability that they contradict each other when asked to speak on a fact is ___

Four persons are asked the same question by an interviewer.If each has independently a probability 1/6 of answering correctly then the probability that at least one of them answers correctly is

In a particular section of class IX, 40 students were asked about the month of their birth and the following graph was prepared for the data so obtained. Find the probability that a student of the class was born in August.