The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.3. The probability of Matt playing any match is 0.7.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choose the correct choice from the following answers.
A) A)0.844	B) B)0.7	C) C)0.8571	D) D)0.7531	E) E)0.8213
Out of 100 matches:   Matt is plays in 70 and not plays in 30.   Out of 70 matches Matt plays in, team wins   0.70*70= 
<gadget id="calculator">  0.70*70</gadget>
<output>49</output>
49.   Out of 30 matches Matt does not play in, team wins   0.3*30= 
<gadget id="calculator">  0.3*30</gadget>
<output>9</output>
9.   So, out of 100 matches 49 + 9= 
<gadget id="calculator">49 + 9</gadget>
<output>58</output>
58 are won.   It is known that the team has won the last match. Out of 58 matches won, Matt is in 49: 49/58= 0.844...   0.844nswer: 0.844.
<result>A</result>
The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.3. The probability of Matt playing any match is 0.7.
If it is known that the team has won the last match, what is the probability that Matt played the match?