Q:

please help....There are 42 boys and girls participating in an essay-writing competition. Of the competitors, 21 are in seventh grade, 14 are in eighth grade, and 7 are in ninth grade. What is the probability of an eighth grader winning the competition? Which simulation(s) can be used to represent this situation?1.The probability is 1/3 . Simulate this situation by rolling a 6-sided die, with odd numbers representing seventh graders and even numbers representing eighth graders.2. The probability is 1/6 . Simulate this situation by picking a card from a deck of cards, with hearts representing seventh graders, diamonds representing eighth graders, and spades representing ninth graders.3. The probability is 1/3 . Simulate this situation by spinning a spinner with six equal sections, with one section representing ninth graders, two sections representing eighth graders, and three sections representing seventh graders.4. The probability is 1/6. Simulate this situation by using a number generator with numbers from 1 to 6, with 1 through 3 representing seventh graders, 4 and 5 representing eighth graders, and 6 representing ninth graders.

Accepted Solution

A:
the probability of an 8th grader winning is : 14/42 which reduces to 1/3

the simulation would be : # 3 <====

because u will have 6 equal sections on ur spinner...with each section representing 7 people
one section representing 9th graders...so their is 7 of them
2 sections representing 8th graders....so their is 7 * 2 = 14 of them
and 3 sections representing 7th graders....7 * 3 = 21 of them