Question

Suppose that 16 of the 80 state governors in a country were women. On each day of​ 2013, one of these state governors was randomly selected to read the invocation on a popular radio program. On approximately how many of those days should it be expected that a woman was​ chosen?

A woman was chosen on approximately
_____ of the days in 2013.

Answer 1

73 times

Explanation:

No. of days in a year = 365

Total no. of State Governors = 80

No. of times there was a repeated appearance = 365÷80

= 4.5 times

No. of times women appeared on the radio = 4.56×16

= 72.96 times

Checking:

No. of time men governers appeared = 80-16 = 64

No. of times all governers appeared = (64×4.56) + 72

= 363.8 days or 1 year