Eighty percent of all California drivers wear seat belts. If three drivers are pulled over,

Answer:

The probability that the three drivers would wear seat belts is 0.5

Step-by-step explanation:

Given

Percentage of drivers using seat belt = 80%

Number of drivers pulled over = 3

Required

Probability that all three drivers wore seat belt

First, the probability that a driver would wear seat belt has to be calculated.

Let's represent that with P(D)

P(D) is equivalent to the percentage of drivers using seat belt

%

Let the probability that the three drivers would wear seat belts be represented as P(All).

P(All) is calculated as thus;

<em>(Probability that the first driver would wear seat belt) and (Probability that the second driver would wear seat belt) and (Probability that the first driver would wear seat belt).</em>

<em></em>

<em>Mathematically, this means</em>

Substitute

--- Approximated

Hence, the probability that the three drivers would wear seat belts is 0.5