Answer:
c maybe
Step-by-step explanation:
Answer:
a) probability that is cracked=1/30 (3.33%)
b) probability that is discoloured = 29/600 (4.83%)
c) probability that is cracked and discoloured = 11/600 (1.83%)
Step-by-step explanation:
assuming that each stone is equally likely to be chosen then defining the events C= the stone is cracked , D= the stone is discoloured , N= the stone is neither cracked or discoloured, then
P(C)= number of favourable outcomes/total number of outcomes = 20 stones/600 stones = 1/30 (3.33%)
P(D)= number of favourable outcomes/total number of outcomes = 29 stones/600 stones = 29/600 (4.83%)
the probability that is discoloured and cracked is P(C∩D) , where
P(C∪D)=P(C) + P(D)-P(C∩D)
and
P(C∪D)= 1- P(N)
thus
1- P(N)=P(C) + P(D)-P(C∩D)
P(C∩D)= P(N)+P(C)+P(D) -1
replacing values
P(C∩D)= P(N)+P(C)+P(D)=562/600 + 20/600 + 29/600 -1= 611/600 -1 = 11/600
thus
P(C∩D)= 11/600 (1.83%)
or 0.167 pounds more butter was used than sugar
<em><u>Solution:</u></em>
Given that, Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a pound of sugar
<em><u>To find: Amount of butter used than sugar</u></em>
From given information,
To find how much butter is used than sugar, find the difference between them
Thus or 0.167 pounds more butter was used than sugar
Namely, how much is 2 and 1/2 of 2 and 3/8 then, well is just their product, let's first convert them both from mixed to "improper" and proceed.
