Each month, a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the month is 29% in January and 49% in February. What is the probability that she is awarded a blue ribbon in both January and February?
Answer:
\(0.1421\ or\ 14.21\%\)
Step-by-step explanation:
The probability that Chloe is the employee of the month in January is 29% or 0.29
i.e \(P(J)=0.29\)
The probability that Chloe is the employee of the month in February is 49% or 0.49
i.e \(P(F)=0.49\)
As both of the events are independent, so
\(P(J\ and\ F)=P(J)\cdot P(F)\)
\(=0.29\times 0.49\)
\(=0.1421=14.21\%\)
Therefore, the probability that Chloe is awarded a blue ribbon in both January and February is 0.1421 or 14.21%