Check all the statements that are true:A. If a random experiment has n possible outcomes, then there are exactly 2n many events associated with the random experiment. B. The probability for an event may be zero. C. If an experiment has n possible outcomes, each outcome has probability 1/n. D. If an event has a probability of 50%, then, if the random experiment is carried out 100 times, it is unlikely, though not impossible, that the event will occur less than 10 times. E. If A and B are mutually exclusive events, the probability for the event (A and B) is zero. F. If event A has probability p1 and event B has probability p2, then the event (A or B) has probability p1+p2.G. The probability for an event may be larger than 1.H. If A and B are different events, the probability for the event (A and B) is zero. I. In probability theory, an event is one possible outcome of an experiment. J. If an event has a probability of 50%, then, if the random experiment is carried out 10 times, the event will occur exactly 5 times.

B, D, E, F,I are the correct options

Step-by-step explanation:

B. the interval of probability is 0 less than or equal to Pr less than or equal to 1. hence its possible that an event is zero.

D. yes it is possible for the experiment to be less than 10 but at the same time very rare.

E. since they are mutually exclusive event, it means  and their intersection will be empty .

F.  they are independent of each other hence the probability of both will be the addition of it as also considered in Set theory

I. the intersection of two different event is zero, since there is nothing in common.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb