Question

identifying mutually exclusive events suppose you are learning about infants for a class and need to write a paper on one baby. from a list of births over the past year at a hospital, choose one baby at random. which of the following events are mutually exclusive (disjoint)? the child having blue eyes and weighing over 10 pounds. the child having brown hair and being a girl. the child being born on a wednesday and on the weekend. the child being a boy and being over 20 inches tall.

Explanation:

Mutually exclusive events cannot occur at the same time. Let's analyze each option:

• For "The child having blue eyes and weighing over 10 pounds", a child can have blue eyes and weigh over 10 pounds simultaneously, so not mutually exclusive.
• For "The child having brown hair and being a girl", a girl can have brown hair, so these can occur together, not mutually exclusive.
• For "The child being born on a Wednesday and on the weekend", Wednesday is a weekday, not a weekend day. So a child can't be born on both Wednesday and the weekend at the same time, these are mutually exclusive.
• For "The child being a boy and being over 20 inches tall", a boy can be over 20 inches tall, so these can occur together, not mutually exclusive.

Answer:

The child being born on a Wednesday and on the weekend.