Q3 of 18 Page 73

A box contains four slips numbered 1, 2, 3, 4 and another contains three slips numbered 1, 2, 3. If one slip is taken from each, what is the probability of the product being odd? The probability of the product being even?

Let box 1 contains slip numbered 1, 2, 3 and 4 and box 2 contains slips numbered 1, 2 and 3.


Let make pair of outcome from different boxes


i.e. (outcome of box 1, outcome of box 2)


Outcomes:


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


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


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


Total number of outcomes = 12


Outcomes having product of the numbers as odd = 4


Outcomes having product of the numbers as even = 8


Probability of the product of numbers being odd




= 0.33


Probability of the product of numbers being even




= 0.67


More from this chapter

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1

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 2

A box contains four slips numbered 1, 2, 3, 4 and another box contains two slips numbered 1, 2. If one slip is taken from each, what is the probability of the sum of numbers being odd? What is the probability of the sum being even?

 4

From all two-digit numbers with either digit 1, 2, or 3 one number is chosen.

i) What is the probability of both digits being the same?


ii) What is the probability of the sum of the digits being 4?

 5

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