+0  
 
0
155
1
avatar

You throw four softballs at the strike-zone target shown. The softballs are equally likely to hit any point of the strike-zone target. What is the probability that the first softball hits zone 2, the second softball hits zone 1, the third softball hits zone 3, and the fourth softball hits zone 4?

 

 

= ________________(Enter your probability as a fraction.) 

 

 

 


 

Guest Oct 1, 2018
 #1
avatar+3190 
+2

\(\text{The strike zone looks to be }18 \times 24 = 432~sq~in \text{ in area}\\ \text{each of the triangles is }\dfrac{6^2}{2} = 18~sq~in~\text{in area} \\ \text{Thus the probability of hitting any of those triangles is }\\ p=\dfrac{18}{432} = \dfrac{1}{24}\)

 

\(\text{The throws are independent so we just multiply the individual probabilities together to}\\ \text{get the probability of all 4 events occurring}\\ p = \left(\dfrac{1}{24}\right)^4 = \dfrac{1}{331776}\)

Rom  Oct 1, 2018

14 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.