A die is rolled 150 times and its outcomes are recorded as below:

  Jagranjosh

Find the probability of getting:

(i) An odd number

(ii) A multiple of 4

A die is rolled 150 times and its outcomes are recorded as below:

  Jagranjosh

Find the probability of getting:

(i) An odd number

(ii) A multiple of 4

 

Asked by Muruga | 8th Mar, 2018, 07:46: AM

Expert Answer:

begin mathsize 16px style straight n left parenthesis straight S right parenthesis equals 150
Let space straight A space be space the space event space that space getting space an space odd space number.
According space to space the space question space odd space numbers space are space 1 comma space 3 comma space 5.
straight n left parenthesis straight A right parenthesis equals 25 plus 15 plus 32 equals 72
straight P left parenthesis straight A right parenthesis equals fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight P left parenthesis straight A right parenthesis end fraction equals 72 over 150 equals 36 over 75 equals 0.48
Let space straight B space be space the space event space that space getting space straight a space multiple space of space 4.
According space to space the space question space only space 4 space number space is space multiple space of space 4.
straight n left parenthesis straight B right parenthesis equals 28
straight P left parenthesis straight B right parenthesis equals fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 28 over 150 equals 14 over 75 end style

Answered by Sneha shidid | 8th Mar, 2018, 08:46: AM