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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.

P(none of them will be selected)
= P(not A and not B)
= P(not A). P(not B)
= [1 - P(A)] [1 - P(B)]
= $open square brackets 1 minus 1 over 7 close square brackets space open square brackets 1 minus 1 fifth close square brackets space equals space 6 over 7 cross times 4 over 5 space equals space 24 over 35$

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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.

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.

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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