A bag contains 4 red, 7 blue and 5 yellow marbles. Event A is defined as drawing a yellow marble on the first draw and event B is defined as drawing a blue marble on the second draw. If two marbles are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form?

P(B|A) is the probability of drawing a blue marble on the second draw, given that a yellow marble was chosen on the first draw.

Step-by-step explanation:

P(B|A) is the conditional probability of event B happening when event A has happened.

In this question:

Event A: Drawing a yellow marble on the first draw.

Event B: Drawing a blue marble on the second draw.

P(B|A) is the probability of drawing a blue marble on the second draw, given that a yellow marble was chosen on the first draw.

Finding P(B|A):

Suppose a yellow marble was chosen on the first draw.

There are will be 4+7+4 = 15 marbles, of which 7 are blue. So

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.