In the United States, 43% of people wear a seat belt while driving. If two people are chosen at random, what is the probability that both of them wear a seat belt?

1 Answer
Jan 25, 2016

If two occurrences are not related you multiply the chances

Explanation:

Chance of driver 1 wearing a seat belt =43% or #0.43#
For short I will write this as #P(d1)=0.43#
Then #P(d2)=0.43# (also)

Then both drivers wearing their seat belts can be written as: #P(d1)andP(d2)=P(d1)timesP(d2)#
(so AND becomes TIMES)

In numbers:
#P(d1)andP(d2)=0.43times0.43=0.1849~~18.5%#

Comment :
Only on the very low 43% score on seat belt usage. I hope this problem does not reflect current reality!