Andre will play in the semi-final of a tennis tournament. If Andre wins the semi-final he will progress to the final. If Andre loses the semi- final, he will not progress to the final. If Andre wins the final, he will be the champion. The probability that Andre will win the semi-final is p. If Andre wins the semi-final, then the probability he will be the champion is 0. 6. 4a. Complete the values in the tree diagram. Andre wins ´the final Andre wins the semi-final Andre loses the final 1-P Andre loses the semi-final The probability that Andre will not be the champion is 0. 58. 4b. Find the value of p.

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Andre will play in the semi-final of a tennis tournament.
If Andre wins the semi-final he will progress to the final. If Andre loses the semi-
final, he will not progress to the final.
If Andre wins the final, he will be the champion.
The probability that Andre will win the semi-final is p. If Andre wins the semi-final,
then the probability he will be the champion is 0. 6.
4a. Complete the values in the tree diagram.
Andre wins
´the final
Andre wins
the semi-final
Andre loses
the final
1-p
Andre loses
the semi-final
The probability that Andre will not be the champion is 0. 58.
4b. Find the value of p.
4c. Given that Andre did not become the champion, find the probability that /
he lost in the semi-final.
Transcribed Image Text:Andre will play in the semi-final of a tennis tournament. If Andre wins the semi-final he will progress to the final. If Andre loses the semi- final, he will not progress to the final. If Andre wins the final, he will be the champion. The probability that Andre will win the semi-final is p. If Andre wins the semi-final, then the probability he will be the champion is 0. 6. 4a. Complete the values in the tree diagram. Andre wins ´the final Andre wins the semi-final Andre loses the final 1-p Andre loses the semi-final The probability that Andre will not be the champion is 0. 58. 4b. Find the value of p. 4c. Given that Andre did not become the champion, find the probability that / he lost in the semi-final.
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