Problem solving using theoretical probabilities quick check using the following information make up addiction as to which event is most likely to occur a sandwich shop has seven options for bread five options for me for options for cheese 10 options for toppings and six options for dressings or sauces Hera places an order for a sesame seed baguette with turkey swiss cheese pickles and mayonnaise the person behind the counter randomly chooses one bread one meat when she's one top and one dressing hair gets the correct bread here against the correct me arrogance a protract toppings hair grits and direct cheese
Based on the given options, we can calculate the theoretical probability of each event occurring:
1) Choosing the correct bread (sesame seed baguette):
There are 7 options for bread, and Hera wants a sesame seed baguette. The probability of choosing the correct bread is 1/7.
2) Choosing the correct meat (turkey):
There are 5 options for meat, and Hera wants turkey. The probability of choosing the correct meat is 1/5.
3) Choosing the correct topping (pickles):
There are 10 options for toppings, and Hera wants pickles. The probability of choosing the correct topping is 1/10.
4) Choosing the correct dressing (mayonnaise):
There are 6 options for dressings, and Hera wants mayonnaise. The probability of choosing the correct dressing is 1/6.
To find the overall probability of Hera getting all her choices correct, we multiply the individual probabilities:
(1/7) * (1/5) * (1/10) * (1/6) = 1/2100
Therefore, the event of Hera getting the correct bread, meat, topping, and dressing is the least likely to occur among the events listed.