Question

According to the information that comes with a certain prescription drug, when taking this drug, there is a 20% chance of experiencing nausea (n) and a 50% chance of experiencing decreased sexual drive (d). the information also states that there is a 15% chance of experiencing both side effects. what is the probability of experiencing neither of the side effects?

Answer 1

There would be a 15% chance of not experiencing both side effects.

Hope this helps!

Answer 2

Using Venn Probabilities, it is found that there is a 0.45 = 45% probability of experiencing neither of the side effects.

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

In this problem, the probabilities given are:

$P(N) = 0.2, P(D) = 0.5, P(N \cap D) = 0.15$

The "at least one" probability is:

$P(N \cup D) = P(N) + P(D) - P(N \cap D) = 0.2 + 0.5 - 0.15 = 0.55$

Hence, the "neither" probability is:

$1 - P(N \cup D) = 1 - 0.55 = 0.45$

0.45 = 45% probability of experiencing neither of the side effects.

You can learn more about Venn Probabilities at https://brainly.com/question/25698611