Question 347197
<pre>

The probability of getting a hit is .343, so the probability of
striking out is 1 - .343 or .657

{{{drawing(800,400, -1 ,18, -10, 10,

line(0,0,3,4),line(0,0,3,-4),
line(4,4,7,6),line(4,4,7,2),
line(4,-4,7,-2),line(4,-4,7,-6),
line(8,6,11,7),line(8,6,11,5),
line(8,2,11,3),line(8,2,11,1),
line(8,-2,11,-1),line(8,-2,11,-3),
line(8,-6,11,-5),line(8,-6,11,-7),
locate(3,4+.4,HIT), locate(3,-4+.4,OUT),
locate(7,6+.4,HIT), locate(7,2+.4,OUT),
locate(7,-2+.4,HIT), locate(7,-6+.4,OUT),
locate(11,7+.4,HIT), locate(11,5+.4,OUT),
locate(11,3+.4,HIT), locate(11,1+.4,OUT),
locate(11,-1+.4,HIT), locate(11,-3+.4,OUT),
locate(11,-5+.4,HIT), locate(11,-7+.4,OUT),

locate(.3,2.7,.343), locate(.3,-1.8,.657),

locate(4.9,6.1,.343), locate(5.1,4,.657),

locate(5.2,-4.1,.657), locate(5.1,-2,.343),

locate(9.1,7.5,.343), locate(9.2,6.3,.657),

locate(9.1,7.5-4,.343), locate(9.2,6.3-4,.657),
locate(9.1,7.5-8,.343), locate(9.2,6.3-8,.657),
locate(9.1,7.5-12,.343), locate(9.2,6.3-12,.657),

locate(13,7+.4,"H,H,H"), locate(13,5+.4,"H,H,O"),
locate(13,3+.4,"H,O,H"), locate(13,1+.4,"H,O,O"),
locate(13,-1+.4,"O,H,H"), locate(13,-3+.4,"O,H,O"),
locate(13,-5+.4,"O,O,H"), locate(13,-7+.4,"O,O,O"),

locate(12.7,9,OUTCOME), locate(14.7,9,PROBABILITY)


 )}}}

Fill in the 8 probabilities by multiplying the probabilities
along the lines that lead to each outcome. 

For instance, the
probality of H,H,H (getting 3 hits) is gotten by multiplying
(.343)(.343)(.343) = .040353607

The probability of the third to last case which was O,H,O (getting
an out, then a hit, then an out) is gotten by multiplying
(.657)(.343)(.657) = .148055607

If you add the whole list of probabilities you should get 1.

Edwin</pre>