QTB – May 2017 – L1 – SB – Q2a – Statistics

Probability calculations for dice roll and random sampling in block production.

Question

i. A six-sided and fair die is thrown into the air. What is the probability:

Of NOT getting a SIX?
That either a THREE, a FOUR, or a FIVE will fall uppermost?
Of obtaining an even number?
(5 Marks)

ii. A block-making factory produces TWO types of blocks: 6-inch and 9-inch. ONE quarter of its output on a particular day are 6-inch blocks, while the remaining three-quarters are 9-inch blocks. If samples of 3 are taken at random, what is the probability of obtaining:

One 6-inch block?
Two 6-inch blocks?
One or two 6-inch blocks?
(5 Marks)

Answer

a. i.

There are six possible equally likely ways it can fall. Of these six
possible outcomes, three would result in an odd number and three
would result in an even number

Therefore, probability y of obtaining an even number = 1/2

ii)

Tags: Block Manufacturing, Dice, Probability, Sampling
Level: Level 1

Topic: Statistics
Series: MAY 2017

Uploader: Kwame Aikins