Hello guys!please help me if you have time.
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Answer:
a) 80% probability that he wins at least one race.
b) 30% probability that he wins exactly one race.
c) 20% probability that he wins neither race.
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that he wins the first race.
B is the probability that he wins the second race.
C is the probability that he does not win any of these races.
We have that:
In which a is the probability that he wins the first race but not the second and is the probability that he wins both these races.
By the same logic, we have that:
The probability that he wins both races is 0.5.
This means that
The probability that he wins the second race is 0.6
This means that
The probability that he wins the first race is 0.7.
This means that
A) he wins at least one race.
This is
There is an 80% probability that he wins at least one race.
B) he wins exactly one race.
This is
There is a 30% probability that he wins exactly one race.
C) he wins neither race
Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.
From a), we have that there is an 80% probability that he wins at least one race.
So there is a 100-80 = 20% probability that he wins neither race.
Answer:
a) $2.75
b) $2.2
c) Second tomato option is better value option.
Step-by-step explanation:
First option to buy tomatoes = $2.75 per pound
Second option to buy tomatoes:
To buy a box which is a 5 pound box and the price is $11.
To find:
a) Unit price for the first tomato option.
b) Unit price for the second tomato option.
c) Better value option on the basis of price.
Solution:
Let the consider the unit here to be a pound.
So, we will find the price of tomato per pound to find the unit price of tomato.
a) Unit price of the first tomato option is : $2.75 per pound
b) Unit price of the second tomato option:
Price for 5 pounds = $11
Dividing both sides with 5 to find the price of 1 pound or unit price.
Price for = 1 pound =
c) To find the better value option, we can compare the unit prices of the two tomato options.
Here, we have the two tomato options with unit prices as:
$2.75 and $2.2
Second tomato option has a lower unit price, therefore, <em>second option</em> is better value option on the basis of price.