Find the probability that a leap year will have 53 Fridays or 53 Saturdays.
A missing helicopter is reported to have crashed somewhere in the rectangular region shown in Fig. 15.2. What is the probability that it crashed inside the lake shown in the figure?
A coin is tossed three times in succession. If E is the event that there are at least two heads and F is the event in which first throw is a head, then find P(E/F)˙
An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accidents are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver?
Suppose that 90% of people are right-handed. What is the probability that at most 6 of a random sample of 10 people are right-handed?
The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.
A coin is tossed three times, consider the following events. A : ‘No head appears’, B: ‘Exactly one head appears’ and C: ‘Atleast two appear’. Do they form a set of mutually exclusive and exhaustive events?
Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also, find the number of elements of this sample space.