Question

Two students anil and ashima appeared in an examination. the probability that anil will qualify the examination is 0.05 and that ashima will qualify the examination is 0.10. the probability that both will qualify the examination is 0.02. find the probability that (a) both anil and ashima will not qualify the examination. (b) atleast one of them will not qualify the examination and (c) only one of them will qualify the examination

Answer 1

Answer:

Step-by-step explanation:

Anil U Ashima =  Anil + ashima - Anil ∩ Ashima

=> Anil U Ashima =  0.05 + 0.10 - 0.02

=> Anil U Ashima =  0.13

(a) both anil and ashima will not qualify the examination.

=  1 - Anil U Ashima

= 1 - 0.13

= 0.87

(b) atleast one of them will not qualify the examination

= 1 - both will qualify

= 1 - 0.02

= 0.98

(c) only one of them will qualify the examination

Only Anil   = 0.05 - 0.02  = 0.03

only Ashima = 0.1 - 0.02 = 0.08

only one of them = only Anil + Only Ashima

= 0.03 + 0.08

= 0.11