You randomly choose one of the tiles and flip the coin. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing the letter G and flipping tails is

Missing Picture of tile is attached

1/14

Step-by-step explanation:

The probability of choosing the letter G and flipping tails :

Firstly,

Probability of choosing a letter G:

(Total required outcomes ÷ total possible outcomes)

Total number of tiles = total possible outcomes = 7

Total required outcomes = total number of the letter 'G' in the tiles = 1

Therefore,

P(choosing the letter 'G') = 1/7

Secondly,

Probability of flipping a tail:

(Total required outcomes ÷ total possible outcomes)

Total number faces of a coin = total possible outcomes = 2

Total required outcomes = total number of the tail faces = 1

Therefore,

P(flipping a tail ) = 1/2

Because of the occurrence of and event does not affect the occurrence the other, the two events are independent and are thus calculated by:

P(choosing the letter 'G') × P(flipping a tail )

1/7 × 1/2 = 1/14