Check all the statements that are true:A. If A and B are mutually exclusive events, the probability for the event (A and B) is zero. B. If an experiment has n possible outcomes, each outcome has probability 1n1n. C. In probability theory, an event is one possible outcome of an experiment. D. The probability for an event may be zero. E. If A and B are different events, the probability for the event (A and B) is zero. F. 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. G. 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. H. The probability for an event may be larger than 1.I. If event A has probability p1p1 and event B has probability p2p2, then the event (A or B) has probability p1+p2p1+p2.J. If a random experiment has n possible outcomes, then there are exactly 2n2n many events associated with the random experiment.

A,D,G

Step-by-step explanation:

A. If A and B are mutually exclusive events, the probability for the event (A and B) is zero.

D. The probability for an event may be zero.

G. 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.

The statements that are true are (A), (D) and (G)

Step-by-step explanation:

A. If A and B are mutually exclusive events, the probability for the event (A and B) is zero.

(A) is true, A and B can not happen together since they are mutually exclusive. P(A and B) is zero.

B. If an experiment has n possible outcomes, each outcome has probability 1n1n.

(B) is not true(probability of each outcome is 1/n)

C. In probability theory, an event is one possible outcome of an experiment.

(C) is not true( An event is not one possible outcome of an experiment)

D. The probability for an event may be zero.

(D) is true(If there is no chance for the event's occurrence)

E. If A and B are different events, the probability for the event (A and B) is zero.

(E) is not True(The probability A and B can be zero if only if A and B are mutually exclusive)

F. 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.

(F) is not true

G. 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.

(G) is true(5/10 is 50%)

H. The probability for an event may be larger than 1.

(H) is not true(Maximum value for probability is 1, Certainty)

I. If event A has probability p1p1 and event B has probability p2p2, then the event (A or B) has probability p1+p2p1+p2.

(I) is not true

J. If a random experiment has n possible outcomes, then there are exactly 2n2n many events associated with the random experiment.

(J) is not true

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!