Using the following information, make a prediction as to which event is most likely to occur.
A sandwich shop has 7 options for bread, 5 options for meat, 4 options for cheese, 10 options for toppings, and 6 options for dressing or sauce. 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, 1 meat, 1 cheese, 1 topping, and 1 dressing
Based on the information provided, there are a total of 7 x 5 x 4 x 10 x 6 = 8400 possible combinations of bread, meat, cheese, toppings, and dressing. Since there is only one combination required for Hera's order, the probability of her order being made correctly is 1 out of 8400. Therefore, it is most likely that her order will be accurately fulfilled.
Galina spins a spinner with three equally sized colored sections: red, green, and purple. She also rolls a number cube. Which event below has the highest likelihood of occurring?
Since the spinner has three equally sized colored sections and the number cube has six sides with each side equally likely to occur, the event with the highest likelihood of occurring would be rolling an even number on the number cube. There are three even numbers on a number cube (2, 4, 6), resulting in a 3 out of 6 (or 1 out of 2) chance of rolling an even number.
Use the table to answer the question.
Transportation to School Number of Students
Walk 23
Car 94
Bus 83
Solve for the probability of randomly choosing a student who rides the bus.
To solve for the probability of randomly choosing a student who rides the bus, we need to compare the number of students who ride the bus to the total number of students.
Total number of students = 23 (walk) + 94 (car) + 83 (bus) = 200
Probability of randomly choosing a student who rides the bus:
Number of students who ride the bus = 83
Total number of students = 200
Probability = Number of students who ride the bus / Total number of students
Probability = 83 / 200
Probability = 0.415
Therefore, the probability of randomly choosing a student who rides the bus is 0.415 or 41.5%.
Justin’s teacher places a ticket with a student’s name in a jar each time they perform an act of kindness. At the end of the week the teacher will draw a ticket from the jar and award a prize. Justin has 13 tickets so far, with a total of 100 in the whole jar. His goal is to have 20 tickets, and he’s estimating the total number of tickets at that point would be about 200. What is the probability of him winning the drawing if he meets his goal?(
To determine the probability of Justin winning the drawing if he meets his goal of having 20 tickets, we need to calculate the ratio of his tickets to the total number of tickets in the jar.
If Justin currently has 13 tickets and aims to have a total of 20 tickets, he needs to acquire 7 more tickets.
From the information provided, it can be inferred that the distribution of the new 100 tickets will be similar to the distribution of the existing 100 tickets. Thus, if Justin gets 7 more tickets, he will have a proportional number of the 100 new tickets, which would be equivalent to (7/13) * 100 ≈ 53 tickets from the new 100.
Therefore, his total number of tickets would be 13 (existing tickets) + 53 (new tickets) = 66 tickets out of an estimated 200 total tickets.
The probability of Justin winning the drawing if he meets his goal (having 20 tickets) would be:
Number of Justin's tickets / Total number of tickets = 66 / 200 ≈ 0.33
Therefore, the probability of Justin winning the drawing if he meets his goal is approximately 0.33 or 33%.