Question 1
A pitching machine throws 70% strikes and 30% balls. Five pitches will be thrown by the machine.
What is the probability that the machine will throw five balls?
◦ 0.3
5◦
![](data:image/png;base64, /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmAA0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9D/iT4+1vwZ4v+H9haWlhJpXiHW10m4mmZ2nXNpdzkoowq4+zIMktne3yjaCfRK8x+L/wy8U/EDX/AARf6D4n0jQIPDWqf2uYNR0OW/a5m8iaALvS7gCJsuJONrHdtOQAVb06q93lVt9SpNXVu343f6WPkr4s/D74PfD3xlp2gWfwb+AcUl5DC0R8YXVnok1xLJJIixW8Q06fzj+77EHLAYPWvp3wj4U0bwR4ds9F0DRNN8OaVbBvK0zSLdILWAsxdwiIqqAXZmJCjJJJ5NcJ8UvBnivxv/b3hy30jwpceFvEemHTb3Vr6aVb61jKSKV+zeQ8d2AZGZd00IBdhg4Jb0rTbCPStOtbKFnaK2iSFGkbcxCgAZPc8daS+H+v6/z/ADUrXVv6/r8PmWaKKKQj/9k=)
◦ 0.3 + 0.3 + 0.3 + 0.3 + 0.3
◦ 0.3
4 × 0.7
◦ none of these
Question 2
A pitching machine throws 70% strikes and 30% balls. Five pitches will be thrown by the machine.
What is the probability the machine will throw one ball and four strikes?
◦ 0.3 + 4 × 0.7
◦ 0.3 × 0.7
4◦ 5 × 0.3 × 0.7
4◦
![](data:image/png;base64, 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)
◦ none of these