Step-by-step explanation:
1. Abbie's chance to place first is 12÷100 = 0.12
and Becca's chance to place second is 8÷100= 0.08
We can determine the probability that Abbie will place first and Becca will place second because ., Abbie gets more chance than Becca (0.12 -0.08 =0.04) to get first place
2. Danna's chance to place first is P(A) = 48÷100 = 0.48
Francine's chance to place second is P(B) = 32 ÷100 = 0.38
The probability that Danna or Francine wins the race is
= P(A or B) = P(A) +P(B) - P(A and B)
= 0.48 +0.32 - (0.48× 0.32)
= 0.8 - 0.15 = 0.65
3. Yes .,that Grace's probabilities were wrong Because Grace only informs about the winning chance of Abbie, Becca ,Danna,and Francine.
Grace gives 12% to Abbie and 48% to Danna ., in real Abbie won the first place ., so ., Grace's probabilities were wrong