Question

54. A group of 200 persons was classified according to age and sex as given below:
Age in Years
Male Female
Total
Below 30
60
50
110
30 and above
80
10
90
Total
140
60
200
What is the probability that a randomly chosen person from this group is
a male below 30 years of age?
(it) What is the probability that a person is below 30 years of age given that
he is a male?
(ICWA) (Ans (i) 0.3 (ii) 0.428)​

Answer 1

Answer:

The Rajarajeswara temple is a Shiva temple located in Taliparamba in Kannur district of Kerala, South India. The temple is regarded as one of the existing 108 ancient Shiva Temples of ancient Kerala. It also has a prominent place amongst the numerous Shiva temples in South India. It had the tallest shikhara amongst the temples of its time. The Rajarajeshwara temple has a top of about 90 tonnes. If any problem is encountered in the other temples of South India, devotees seek a solution in this temple through a prasna, a traditional method of astrological decision making.[citation needed] The prasna is conducted on a peedha (a raised platform) outside the temple.

Shree Rajarajeshwaramcfsgsg

Taliparamba Rajarajeshwara Temple

Rajarajeshwara Temple

Religion

Affiliation

Hinduism

District

Kannur district

Deity

Shiva

Governing body

Malabar Devaswom Board[1]

Location

State

Kerala

Country

India

Rajarajeshwara Temple is located in Kerala

Answer 2

Answer:

(i)The probability that a randomly chosen person is a male below 30 years of age = 0.3

(ii)The probability that a person is below 30 years of age given that he is a male = 0.428

Step-by-step explanation:

Given data is

Age                           Male                    Female                   Total

<30                           60                          50                         110

30 &above               80                           10                         90

Total                          140                         60                       200

To find,

(i)The probability that a randomly chosen person is a male below 30 years of age

(ii)The probability that a person is below 30 years of age given that he is a male

Recall the formula

Probability of an event = $\frac{No.\ of\ favourable\ outcomes}{Total\ number\ of\ outcomes}$

Solution

(i) The total number of possibilities when a person is chosen from this group = 200

No of favorable outcomes = no. of possibilities of choosing a male below 30 years= 60

The required probability  = $\frac{60}{200} =$ 0.3

∴The probability that a randomly chosen person is a male below 30 years of age = 0.3

(ii) The total possibilities of choosing a male = 140

No of favorable outcomes  = no. of possibilities of a male below 30 years =60

The required probability = $\frac{60}{140}$ = 0.428

The probability that a person is below 30 years of age given that he is a male = 0.428

Hence,

(i)The probability that a randomly chosen person is a male below 30 years of age = 0.3

(ii)The probability that a person is below 30 years of age given that he is a male = 0.428

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