Question

You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a green tile and then a blue tile is

Answer 1

See attached picture for the missing image required to answer the question.

Answer: 4/21

Step-by-step explanation:

Total number of tiles(possible outcomes) = 7

Number of green tiles(required outcomes) =2

Number of Blue tiles(required outcomes) = 4

Recall :

Probability (P) = Required outcome / total possible outcomes

First pick (without replacement) :

P(picking a green tile) = 2/7

Second pick :

Tiles left after first pick = 6

P(picking a blue tile) = 4/6 = 2/3

Compound probability :

P(picking a green tile) × p(picking a blue tile)

(2/7) × (2/3) = 4/21