[tex]0.0633[/tex] is the the probability that the 6th pizza ordered is the first extra-large pizza.
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, at a certain pizzeria, it is known that 12% of orders are for extra-large pizzas.
We have to find, what is the probability that the 6th pizza ordered is the first extra-large pizza.
Probability of extra-large pizzas [tex]=\frac{12}{100}[/tex][tex]=0.12[/tex]
Probability of other pizzas[tex]=1-0.12=0.88[/tex]
Hence, the probability that the 6th pizza ordered is the first extra-large pizza[tex]=0.88^{5}[/tex]×[tex]0.12[/tex](since first 5 pizzas are other pizza)
[tex]=0.527[/tex]×[tex]0.12[/tex]
[tex]=0.0633[/tex]
Hence, we can conclude that [tex]0.0633[/tex] is the probability that the 6th pizza ordered is the first extra-large pizza.
Learn more about probability here:
https://brainly.com/question/11234923?referrer=searchResults
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