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Probability

Short Answer Type

861.

Fatima and John appear in an interview for two vacancies in the same post. The probability of Fatima's selection is $1 over 7 space and space$ that of John's selection is $1 fifth.$ What is the probability that none of them will be selected.

80 Views

862. Arun and Tarun appear for an interview for two vacancies. The probability of Arun's selection is

1 third

and that of Tarun's selection is

1 fifth.

Find the probability that only one of them will be selected.

135 Views

863. Kamal and Monica appeared for an interview for two vacancies. The probability of Kamal’s selection is $1 third$ and that of Monica’s selection is $4 over 5.$ Find the probability that only one of them will be selected.

Let A denote the event ‘Kamal is selected’ and B denote the event ‘Monica is selected’.

therefore space space space straight P left parenthesis straight A right parenthesis space equals space 1 third comma space space straight P left parenthesis straight B right parenthesis space equals space 4 over 5 therefore space space straight P left parenthesis straight A with bar on top right parenthesis space equals space 1 minus straight P left parenthesis straight A right parenthesis space equals space 1 minus 1 third space equals 2 over 3 space space space space space straight P open parentheses straight B with bar on top close parentheses space equals space 1 minus straight P left parenthesis straight B right parenthesis space equals space 1 minus 4 over 5 space equals 1 fifth

P(only one of them is selected)

equals space straight P left parenthesis apostrophe straight A space and space straight B with bar on top apostrophe space space space or space space space apostrophe straight A with bar on top space and space straight B apostrophe right parenthesis space equals straight P left parenthesis straight A space and space straight B with bar on top right parenthesis space plus space straight P left parenthesis straight A with bar on top space and space straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis. space straight P left parenthesis straight B with bar on top right parenthesis space plus space straight P left parenthesis straight A with bar on top right parenthesis. space straight P left parenthesis straight B right parenthesis space equals space 1 third cross times 1 fifth plus 2 over 3 cross times 4 over 5 space equals 1 over 15 plus 8 over 15 space equals 9 over 15 space equals 3 over 5

91 Views

864. Surjit and Sachdev appeared for an interview. The probability of their selection is

1 third space and space 1 over 6

respectively. Find the probability both selected.

93 Views

865. Surjit and Sachdev appeared for an interview. The probability of their selection is

1 third space and space 1 over 6

respectively. Find the probability only one of them selected.

89 Views

866. Surjit and Sachdev appeared for an interview. The probability of their selection is

1 third space and space 1 over 6

respectively. Find the probability neither of them selected.

90 Views

867. Balwant and Kulwant appeared for an interview. The probability of their selection is

1 third space and space 1 fifth

respectively. Find the probability both selected.

101 Views

868. Balwant and Kulwant appeared for an interview. The probability of their selection is

1 third space and space 1 fifth

respectively. Find the probability only of them selected.

95 Views

869. Balwant and Kulwant appeared for an interview. The probability of their selection is

1 third space and space 1 fifth

respectively. Find the probability neither of them selected.

92 Views

Long Answer Type

870. Navdeepika and Meenakshi appeared for an interview. The probability of their selection is

1 third space and space 1 fourth

respectively. Find the probability of
(i) both selected.
(ii) only one of them selected
(iii) neither of them selected.

78 Views