Probability of Combined Events Form 4

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)

Tags

CCSS.HSS.CP.A.1

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.

• $\frac{1}{6}$

• $\frac{1}{4}$

• $\frac{3}{4}$

• $\frac{5}{6}$

Tags

CCSS.HSS.CP.B.7

The cards labelled with the letters “K, E, B, O, L, E, H, J, A, D, I, A, N” are put in a container. Determine 

 $P\left(R\cup T\right)$  

•  $\frac{6}{13}$  

•  $\frac{7}{13}$  

•  $\frac{8}{13}$  

•  $\frac{9}{13}$  

Tags

CCSS.HSS.CP.B.7

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?

• $\frac{1}{12}$

• $\frac{1}{8}$

• $\frac{1}{4}$

• $\frac{1}{2}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

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.

• $\frac{3}{31}$

• $\frac{2}{27}$

• $\frac{3}{20}$

• $\frac{1}{4}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8

Which of the following is correct?

• $n\left(S\right)=n\left(A\right)+n\left(B\right)$

• $n\left(S\right)=n\left(A\right)-n\left(B\right)$

• $n\left(S\right)=n\left(A\right)\times n\left(B\right)$

• $n\left(S\right)=\frac{n\left(A\right)}{n\left(B\right)}$

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.

Tags

CCSS.HSS.CP.A.5

Edwin has eight shirts and three of them are blue shirts. 40% of the shirts that Zaki has are blue.  $\frac{1}{5}$  of the shirts that Gopal has are blue. Edwin, Zaki and Gopal each chooses a shirt at random to attend a meeting. Calculate the probability that two of them wear blue shirts.

•  $\frac{43}{200}$  

•  $\frac{61}{200}$  

•  $\frac{61}{100}$  

•  $\frac{39}{200}$  

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

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. 

•  $\frac{3}{10}$  
  

•  $\frac{1}{10}$  
  

•  $\frac{4}{5}$  
  

•  $\frac{2}{5}$  
  

Tags

CCSS.HSS.CP.B.9

In a badminton tournament, the Malaysia team plays against the China team and the Indonesia team plays against the Thailand team. The probability that the Malaysia team wins against the China team is  $\frac{1}{3}$ . The probability that the Indonesia team wins against the Thailand team is  $\frac{2}{3}$ . Find the probability that both the Malaysia team and the Indonesia team lose their games.

•  $\frac{1}{3}$  

•  $\frac{2}{3}$  

•  $\frac{2}{9}$  

•  $\frac{5}{9}$  

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8