372. traditionally, when a couple get married, the bride tosses her wedding bouquet over her shoulder to…
372. traditionally, when a couple get married, the bride tosses her wedding bouquet over her shoulder to certain members of the wedding party. the brides attendants are spread out along a 12 - foot wedding carpet, with one of her sisters standing at one end and another standing 2 feet away. what is the probability that someone standing between the two sisters will catch the bouquet?
Answer
Explanation:
Step1: Identify total length
The total length of the area where the attendants are spread is 12 - foot. So the total length $L_{total}=12$.
Step2: Identify favorable length
The length between the two - sisters is 2 feet. So the favorable length $L_{favorable}=2$.
Step3: Calculate probability
The probability $P$ of a geometric - probability problem is given by the ratio of the favorable length to the total length. So $P=\frac{L_{favorable}}{L_{total}}=\frac{2}{12}=\frac{1}{6}$.
Answer:
$\frac{1}{6}$