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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