Are the events of being born on a Wednesday and being born in July mutually exclusive or overlapping? Explain. Find P(born on Wed or in July) and P(born on Wed and in July).

Question

Statistic help!!!

Answer 1

the events overlap

there's at least 4 Wednesdays in July, sometimes 5

3/31 chance of 5 wednesdays in July

28/31 chance just 4

draw a Venn diagram with 2 overlapping circles, one with 52 days, the other with 31

Universe = 365 days, ignoring leap years

Probability of getting a Wednesday in July = about 4.1 out of 365 = 4.1/365

Probability of getting a Wednesday or a day in July = about (52+31 -4.1)/365= 78.9/365