On the average one person dies out of every 10 accidents find the probability that at least 4 will be safe out of 5 accidents. 

Asked by Rida Mukadam | 3rd Dec, 2015, 08:45: PM

Expert Answer:

S i n c e space o n e space p e r s o n space d i e s space o u t space o f space 10 space a c c i d e n t s comma space t h e space p r o b a b i l i t y space o f space d y i n g equals 1 over 10 T h e n space t h e space p r o b a b i l i t y space o f space l i v i n g space s a f e equals 1 minus 1 over 10 equals 9 over 10 O u t space o f space 5 space a c c i d e n t s space space a t l e a s t space 4 space w i l l space b e space s a f e. P r o b a b i l i t y space t h a t space a t l e a s t space 4 space w i l l space b e space s a f e space o u t space o f space 5 equals P r o a b i l i t y space o f space 4 space s a f e space 1 space d i e plus p r o b a b i l i t y space o f space 5 space s a f e space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times 1 over 10 plus 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times 9 over 10 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times open parentheses 1 over 10 plus 9 over 10 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times open parentheses fraction numerator 1 plus 9 over denominator 10 end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times open parentheses 10 over 10 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 9 over 10 cross times 9 over 10 cross times 9 over 10 cross times 9 over 10 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 6561 over 10000

Answered by Vimala Ramamurthy | 4th Dec, 2015, 11:33: AM