If you repeat this experiment 270 times, how many repetitions do you predict will result in picking at least one yellow marble?

To address the question, we first need to understand the probabilities related to each scenario.

1. Picking at least one pink marble – This probability can be calculated based on the total number of marbles and how many are pink.

2. Picking a red and yellow marble in any order – This situation involves the specific counts of red and yellow marbles, and the order does matter here since you can pick red first or yellow first.

3. Picking two red marbles – This probability depends on how many red marbles are present in total.

Now, regarding how many repetitions will result in picking at least one yellow marble when you repeat the experiment 270 times, you’d need to know the total count of yellow marbles.

### Prediction Calculation:

If we say that the probability of picking at least one yellow marble in a single trial is ( P(Y) ), then the expected number of trials resulting in at least one yellow marble when repeated 270 times would be:

[

text{Expected occurrences} = 270 times P(Y)

]

Without the specific probability ( P(Y) ), I can’t calculate the exact number, but if you provide that probability, we can find the predicted occurrences together!

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