Chapter 9 Probability of Combined Events

Which of the following is correct?

• _{n(S) = n(A) X n(B)}

• n(S) = n(A) + n(B)

• n(S) = n(A) - n(B)

• n(S) = n(A) / n(B)

How many sample space are there for the combined event below?

'Adham (A) and Nafeez (N) play a maximum of five badminton matches. The player that wins three sets is the winner'

• 12

• 20

• 25

Which of the following is/are dependent events?

• The pointer of a lucky wheel stops at the same sector twice consecutively

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

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

• Obtain two pens of the same colour when two pens are taken out at random from a container that contains 3 red pens and 2 blue pens with replacement.

Box A contains a red card and two yellow cards.

Box B contains three red cards and a yellow card.

Fauziah chooses a card from box A and box B respectively.

What are the probability of Fauziah getting both yellow cards?

• 1/6

• 2/3

• 1/4

• 2/9

According to an investigation, the probability of rainfall on Mountain X in May is 0.45.

Calculate the probability that Mountain X will have two consecutive rainy days in May.

• 0.90

• 0.55

• 0.3025

• 0.2025

A box contains 12 bulbs where two of the bulbs are burnt. Two bulbs are selected at random from the box.

Calculate the probability of getting two burnt bulbs.

• 1/36

• 1/66

• 15/22

• 25/36

Which of the following is/are the addition rule of probability?

• 
• 
• 
• 

The probability that a smartphone manufactured has a display problem is 2/13. Two smartphones are chosen at random. 

Calculate the probability that at least one smartphone chosen has a display problem. 

• 48/169

• 121/169

• 4/169

• 44/169

Seven cards labelled with the letters "G,E,M,B,I,R,A" are put in a box. A card is chosen at random from the box.

Calculate the probability that the card chosen is labelled with a vowel or letter "R"

• 4/7

• 12/49

• 3/7

• 37/49

• 1/5

• 1/15

• 1/20

• 0