Combining Probability

Five cards labelled with the letters “R, A, J, I, N” are put into a box. Two cards are taken out at random from the box one by one without replacement. Which of the following is not the possible outcome for the event?

• (A, J)

• (J, J)

• (I, N)

• (R, A)

The diagram above shows the cards in box P and box Q.

A card is chosen at random from each of the boxes. Calculate the probability of getting a perfect square and a vowel.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

Which of the following is correct?

Which of the following is/are dependent events?

• Answer three objective questions with four options correctly if the answer of each question is chosen at random.

• Adam and Raju sit for a History test in school. Adam and Raju pass the History test.

• Obtain two pens of the same colour when two pens are taken out one by one from a container that contains three red pens and two blue pens without replacement.

• The selection of two boys from a group of ten girls and fourteen boys at random.

Two prefects are chosen at random from five prefects, where 3 of them are in Form 5 and 2 are in Form 4. Calculate the probability that both prefects chosen are in the same form.