MODULE 4 - CASE

Module 4 - Case

Module 4 - Case

Question No. 1

1. A card is drawn at random from a standard 52-card deck.  Find the probability that the card is not a queen.

Solution

It is known that there are 4 queen cards out of 52, therefore the probability of getting a queen would be given as.

P (Q) = P (A) / P (N)

P (Q) = Probability of getting a queen card

P (N) = Probability of selecting one card from total cards

Total number of queen cards = 4

Total cards = 52

Therefore,

P (Q) = Probability of getting a queen card = 4 / 52

P (Q) = Probability of not getting a queen card = 1 - (4 / 52)

P (Q) = 1 - 0.0769

P (Q) = 0.9231

Above presented results show that the probability of not getting a queen card would be 0.9231.

Question No. 2

Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5.  

Solution

Since two dice are rolled, therefore the probability of finding the sum of two numbers is not greater than 5 would be.

P (Sum not greater than 5) = P (A) / P (N) = Probability of sum not greater than 5 / Probability of all combinations

There combinations of these two numbers would be given as:

(1, 1)(1, 2)(2, 1)(1, 3)(3, 1)(2, 2)(1, 4)(4, 1)(2, 3)(3, 2)

P (Sum not greater than 5) = P (D) = 10/36

P (Sum not greater than 5) = P (D) = 5/18

Question No. 3

This spinner is spun 36 times. The spinner landed on A  6  times, on B  21  times, and on C  9  times. Compute the empirical probability that the spinner will land on B.

Solution

Total number of events in the above presented example = 36

Probability of spinner landing at A is = ...