Probability
GCE Mathematics

A bag contains 5 red balls, 3 blue balls and 2 green balls. Two balls are drawn one after the other without replacement. (a) Draw a tree diagram to illustrate all possible outcomes of the two draws. (…

The table below shows the results of a survey of 200 students on their preference for two subjects, Mathematics (M) and English (E). | | Likes M | Does not like M | Total | |---|---|---|---| | Likes …

Two fair dice are thrown together. What is the probability that the sum of the scores is at least 10?

A committee of 3 is to be chosen from 5 men and 4 women. If the selection is made at random, what is the probability that the committee consists of 2 men and 1 woman?

A bag contains 5 red balls, 3 blue balls and 2 green balls. If a ball is picked at random from the bag, what is the probability that it is blue?

Events A and B are such that $P(A) = \frac{1}{3}$, $P(B) = \frac{1}{2}$ and $P(A \cup B) = \frac{2}{3}$. Find $P(A \cap B)$.

A box contains 6 defective and 14 non-defective bulbs. Two bulbs are drawn one after the other without replacement. What is the probability that both bulbs are defective?

The probability that it rains on any given day in Lagos during the rainy season is 0.6. What is the probability that it rains on exactly 2 out of 3 randomly chosen days?

The probability that Emeka passes a Mathematics test is 2/3 and the probability that he passes an English test is 3/5. What is the probability that he passes both tests?