while visiting her grandparents, isabelle found a box with a surprising number of spare keys. isabelle…

while visiting her grandparents, isabelle found a box with a surprising number of spare keys. isabelle figured that the color of the sticker on each key must indicate what the key was for. when isabelle tested the keys, she was surprised to find that this was not the case. front door of the house back door of the house blue sticker 1 5 green sticker 4 9 what is the probability that a randomly selected key is labeled with a green sticker and opens the back door of the house? simplify any fractions.

while visiting her grandparents, isabelle found a box with a surprising number of spare keys. isabelle figured that the color of the sticker on each key must indicate what the key was for. when isabelle tested the keys, she was surprised to find that this was not the case. front door of the house back door of the house blue sticker 1 5 green sticker 4 9 what is the probability that a randomly selected key is labeled with a green sticker and opens the back door of the house? simplify any fractions.

Answer

Explanation:

Step1: Calculate total number of keys

Add up all the values in the table: $1 + 5+4 + 9=19$.

Step2: Identify number of favorable keys

The number of keys with a green - sticker and that open the back door is 9.

Step3: Calculate probability

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{9}{19}$.

Answer:

$\frac{9}{19}$