Question

Kims group of preschoolers consits of 9 girls and 7 boys. If kim randomly selects one child to be first in line, with E being the event that the one selected is a girl. give each of the following:

a. the total number of possible outcomes
b. the number favorable outcomes
c. the number of unfavorable outcomes
d. the probabilty of event E
e. the odds in favor of event E

Answer 1

The total number of possible outcomes is 16, the number of favorable outcomes is 9, the number of unfavorable outcomes is 7, the probability of event E is 0.5625, and the odds in favor of event E are 1.2857.

Step-by-step explanation:

To answer the given questions:

a. The total number of possible outcomes is the total number of children in the group. In this case, there are 9 girls and 7 boys, so the total number of possible outcomes is 9 + 7 = 16.

b. The number of favorable outcomes is the number of girls in the group. In this case, there are 9 girls, so the number of favorable outcomes is 9.

c. The number of unfavorable outcomes is the number of boys in the group. In this case, there are 7 boys, so the number of unfavorable outcomes is 7.

d. The probability of event E, which is selecting a girl first, is the number of favorable outcomes divided by the total number of possible outcomes. So, the probability is 9/16 = 0.5625.

e. The odds in favor of event E can be calculated by dividing the number of favorable outcomes by the number of unfavorable outcomes. So, the odds in favor of event E are 9/7 = 1.2857.