Question

anna is shopping for a new backpack. The probability that the backpack is pink is 0.7, and teh probability that it is canvas is 0.7. the probability that it is pink and canvas is 0.5. What is the probability that it is pink or canvas?

Answer 1

The probability that it is pink or canvas is 0.9

Step-by-step explanation:

Let us revise the meaning of "or" , "and" on probability :

• The use of the word "or" means that you are calculating the probability  that either event A or event B happened.  Both events do not have to happen
• The use the word "and", means that both event A and B have to happen

The addition rules are:

• P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen  at the same time)
• P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they  have at least one outcome in common)

Anna is shopping for a new backpack

∵ The probability that the backpack is pink is 0.7

∴ P(pink) = 0.7

∵ The probability that it is canvas is 0.7

∴ P(canvas) = 0.7

∵ The probability that it is pink and canvas is 0.5

∴ P(pink and canvas) = 0.5

Substitute the values above in the rule below

∵ P(pink or canvas) = P(pink) + P(canvas) - P(pink and canvas)

∴ P(pink or canvas) = 0.7 + 0.7 - 0.5

∴ P(pink or canvas) = 0.9

The probability that it is pink or canvas is 0.9

Learn more:

You can learn more about probability in brainly.com/question/10744457

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