SPM Add Maths Probablity (Past Year)

A box contains 6 white marbles and k black marbles. If a marble is picked randomly from the box, the probability of getting a black marble is 3/5. Find the value of k.

• k = 6

• k = 8

• k = 9

• k = 12

Table 1 shows the number of coloured cards in a box.

Two cards are drawn at random from the box.

Find the probability that both cards are of the same colour.

• $\frac{5}{12}\times\frac{4}{12}$

• $\frac{4}{12}\times\frac{3}{11}$

• $\frac{5}{12}\times\frac{4}{11}+\frac{4}{12}\times\frac{3}{11}+\frac{3}{12}\times\frac{2}{11}$

• $\frac{5}{12}\times\frac{4}{11}\times\frac{4}{12}\times\frac{3}{11}\times\frac{3}{12}\times\frac{2}{11}$

The probability that Hamid qualifies for the final of a track event is  $\frac{2}{5}$ while the probability that Mohan qualifies is  $\frac{1}{3}$ . Find the probability that both of them qualifies for the final.

•  $\frac{2}{5}$  

•  $\frac{1}{3}$  

•  $\frac{2}{5}+\frac{1}{3}$  

•  $\frac{2}{5}\times\frac{1}{3}$  

The probability that Hamid qualifies for the final of a track event is  $\frac{2}{5}$​ while the probability that Mohan qualifies is   $\frac{1}{3}$  . Find the probability that only one of them qualifies for the final. 

•  $\frac{2}{5}\times\frac{2}{3}$  

•  $\frac{3}{5}\times\frac{1}{3}$  

•  $\frac{2}{5}\times\frac{2}{3}+\frac{3}{5}\times\frac{1}{3}$  

•  $\frac{2}{3}+\frac{3}{5}$  

The probability of Sarah being chosen as a school prefect is 

 $\frac{3}{5}$  while the probability of Aini being chosen is  $\frac{7}{12}$ . Find the probability that neither of them is chosen as a school prefect.

• 1/6

• 1/12

• 2/5

• 5/12

The probability of Sarah being chosen as a school prefect is  $\frac{3}{5}$ while the probability of Aini being chosen is  $\frac{7}{12}$. Find the probability that only one of them is chosen as a school prefect.

•  $\frac{3}{5}$  

•  $\frac{7}{12}$  

•  $\frac{7}{20}$  

•  $\frac{29}{60}$  

The probability that a student is a librarian is 0.2. Three students are chosen random. Find the probability that all three are librarians.

• 0.2

• 0.6

• 0.002

• 0.008

The probability that a student is a librarian is 0.2. Three students are chosen random. Find the probability that only one of them is a librarian.

• 0.2

• 0.8

• 0.128

• 0.384

A sample space of an experiment is given by S = {1, 2, 3, …, 20}. Event M and N are defined as follows:

M = {3, 6, 9, 12, 15, 18}

N = {1, 3, 5, 15}

Find P(M).

• 0.2

• 0.3

• 0.5

• 0.8

A sample space of an experiment is given by S = {1, 2, 3, …, 20}. Event M and N are defined as follows:

M = {3, 6, 9, 12, 15, 18}

N = {1, 3, 5, 15}

Find P(M and N).

• 0.1

• 0.2

• 0.3

• 0.4