Question

Two bad eggs are accidentally mixed up with ten good ones. Find the probability of picking good eggs.

Answer 1

Before attempting this question, one should have prior knowledge about the concept of probability also remember to use the formula of probability i.e. probability = $\dfrac{{Favorable{\text{ }}outcome{\text{ }}of{\text{ }}good{\text{ }}eggs}}{{total{\text{ }}number{\text{ }}of{\text{ }}outcomes}}$, use this information to approach the solution.

Complete step-by-step answer:
We know that there are 10 good eggs and accidentally we mix two bad eggs
$\therefore$total no of eggs = 10 + 2 = 12 eggs
Favorable outcome of good eggs = we know that there are 10 good eggs so that is the favorable outcome
we know that,
probability = $\dfrac{{Favorable{\text{ }}outcome{\text{ }}of{\text{ }}good{\text{ }}eggs}}{{total{\text{ }}number{\text{ }}of{\text{ }}outcomes}}$
P (picking good eggs) = $\dfrac{{Favorable{\text{ }}outcome{\text{ }}of{\text{ }}good{\text{ }}eggs}}{{total{\text{ }}number{\text{ }}of{\text{ }}outcomes}} = \dfrac{{10}}{{12}} = \dfrac{5}{6}$

Note: In order to find the probability of picking a good egg one should first identify the total number of egg present in bag which will be equal to total number of outcomes and the next step will be to find the favorable outcomes which is the means the outcome of interest for example when a person tosses a coin and desires to obtain head so in this condition favorable outcome will be equal to 1.