Question

The probability that a meal at a restaurant is overcooked is 10%. Estimate the probability that exactly 1 of the next 2 meals is overcooked.

Answer 1

The probability that exactly 1 of the next 2 meals is overcooked = 3.34%

Explanation:

The probability that a meal at a restaurant is overcooked is 10%

The probability that exactly 1 of the next 2 meals is overcooked = out of 3 meals 1 meal is overcooked of 10%

= 1 × 3 × 10%

= 10 × 3 %

= 3.34 %

Answer 2

Answer: 18.1%

Explanation:

`P($ overcooked $)=1 / 10$ \\$P($ exactly one overcooked of next two)\\\begin{$aligned}&\Rightarrow O N+N O \quad\left[\begin{array}{l}O \rightarrow \text { Overcooked } \\N \rightarrow \text { Not Overcooked}\end{array}\right. \\&\Rightarrow P(O) \cdot P(N)+P(N) P(O)\end{aligned}$$`

`$$P(N)=1 - 1/10 = 9 / 10$$$P(exactly 1 overcooked)$$\begin{aligned}&=(1)/(10) \cdot (9)/(10)+(1)/(10) \cdot (9)/(10) \\&=(18)/(100) \\ &=(9)/(50) \text { }\text { or } 18.1\%\end{aligned}$$`