Question

There are only blue cubes yellow cubes and green cubes in a bag. There are three times as many blue cubes as yellow cubes and five times as many green cubes as blue cubes. Sarah takes a random cube from the bag. What is the probability that she takes a yellow cube? Answer in simplest form

Answer 1

Answer:

1/19

Step-by-step explanation:

Answer 2

Answer:

Probability that Sarah takes a yellow cube is $\frac{1}{19}$.

Step-by-step explanation:

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening. Probability can range from 0 to 1, with 0 denoting an impossible event and 1 denoting a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Let B be the blue cubes.

Let Y be the yellow cubes.

Let G be the green cubes.

According to given question:

There are three times as many blue cubes as yellow cubes-

$B=3Y$

Five times as many green cubes as blue cubes

$G=5B\\G=15Y$

Ratio of  Blue: Yellow: Green$=3Y:Y:15Y$

Probability of yellow cubes$=\frac{Y}{19Y}$

$=\frac{1}{19}$

Hence,  probability that Sarah takes a yellow cube is $\frac{1}{19}$.

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