A large pizza is on special for take-out and can be ordered with 4 toppings. There are a total of 22 toppings to pick from: 15 toppings are vegetarian and 7 are non-vegetarian. A customer calls to place a take-out order and orders the large pizza that is on special. She chooses each topping at random, selecting from the remaining toppings each time an additional topping is chosen, so that no toppings are repeated. What is the probability that all of her topping choices are vegetarian?  Express your answer as a decimal rounded to the nearest thousa

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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  1. A large pizza is on special for take-out and can be ordered with 4 toppings. There are a total of 22 toppings to pick from: 15 toppings are vegetarian and 7 are non-vegetarian.
  2. A customer calls to place a take-out order and orders the large pizza that is on special. She chooses each topping at random, selecting from the remaining toppings each time an additional topping is chosen, so that no toppings are repeated. What is the probability that all of her topping choices are vegetarian?  Express your answer as a decimal rounded to the nearest thousandth.

 

 

  1. Another customer goes online to place a take-out order and also orders the large pizza that is on special. He decides to randomly select the four toppings, choosing from all of the toppings each time he makes a topping selection (extra cheese is ok!). What is the probability that all of his topping choices are vegetarian?  Express your answer as a decimal rounded to the nearest thousandth.

 

 

  1. In how many ways can this large pizza on special be ordered if a customer chooses exactly two vegetarian toppings and two non-vegetarian toppings, with no repeat toppings?

 

 

  1. What is the probability of selecting a large pizza with exactly two vegetarian toppings and two non-vegetarian toppings, with no repeats, if there are a total of 7,315 ways this pizza can be ordered? Express your answer as a percentage rounded to the nearest whole percent.
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