Abowl contains 3 red, 8 blue, and 7 black beads. margaret randomly selects 3 beads one after the other without replacement. find the probability of getting a red, blue, and black bead, in that order.

This experiment consists in three phases: let's analyse each phase and the correspondent probability.

At the beginning, we have beads. 3 of them are red. So, we have a probability of of selecting a red bead.

Suppose we do select a red bead with the first pick. Let's analyse the new scenario. Now we're left with beads, and 8 of them are blue. So, we have a probability of of selecting a blue bead.

And if we do, we arrive to the last scenario: we have beads, and 7 of them are black. So, we have a probability of of selecting a black bead.

So, in order to getting a red, blue, and black bead, in that order, three events must happen one after the other, and we know their individual probability. The result is thus the product of these probabilities, namely

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°