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Calculate the Theoretical probability of the following experiments.

Use a tree diagram to visualize your calculations. *** Note that these are independent experiments. Once she has removed a fruit, she will put it back in before removing a second fruit.***

Jane has a bag with 5 oranges, 4 grapefruits, and 3 apples.

What is the probability that she will NOT randomly take out two oranges in a row?

What is the probability that she will NOT randomly take out two grapefruits in a row?

What is the probability that she will NOT randomly take out two apples in a row?

What is the probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order?

Sagot :

The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

A.) The probability that she will NOT randomly take out two oranges in a row,

Probability = 1 - (5/12)² = 0.8264

B.) The probability that she will NOT randomly take out two grapefruits in a row,

Probability = 1 - (4/12)² = 0.8264 = 0.8889

C.) The probability that she will NOT randomly take out two apples in a row,

Probability = 1 - (3/12)² = 0.8264 = 0.9375

D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,

Probability = (7/12) × (9/12) × (8/12) = 0.2917

Learn more about Probability:

https://brainly.com/question/795909

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