The probability that a student correctly answers on the first try (the event a. is p(a) = 0.2. if the student answers incorrectly on the first try, the student is allowed a second try to correctly answer the question (the event b). the probability that the student answers correctly on the second try given that he answered incorrectly on the first try is 0.5. find the probability that the student answers the question on the first or second try. a.0.90 b.0.40 c.0.10 d.0.70 e.0.60

The probability that the student answers the question on the first or second try is 0.60.

Given

P(A) = 0.2

.

What is conditional probability?

The conditional probability of an event is when the probability of one event depends on the probability of occurrence of the other event.

When two events are mutually exclusive.

Then,

The first probability is;

Therefore,

The probability that the student answers the question on the first or second try is;

Hence, the probability that the student answers the question on the first or second try is 0.60.

To know more about Conditional probability click the link given below.

link

Note that the two events are mutually exclusive. If the question is answered correctly on the first try, there's no need to give it another attempt. So .

We're given that and . From the first probability, we know that . By definition of conditional probability,




We're interested in the probability of either or occurring, i.e. . Apply the inclusion-exclusion principle, which says



We know the probability of intersection is 0, and we know . Meanwhile, by the law of total probability, we have



so we end up with

I’m pretty sure the slope would be 1 since the x and y values increase by 1

The point (5, 10) will work for the rule y=x+5.y= 10 x= 510=5+510=10therefore the ordered pair (5, 10) works for the rule