A bag contains 3 apples and 2 oranges. Another bag contains 2 apples and 4 oranges . A bag and a fruit are picked at random. The probability that the fruit will be apple is
Orange and apple juice
3/2 +2/4 = 5/4
(1/2)(3/5) + (1/2)(2/6)
Bag 1 has five fruits in total, three being an apple and two being an orange. If this bag is picked, the chance the fruit would be an apple would be 3/5, or 60% of the time.
Bag 2 has six fruits in total, two being an apple and four being an orange. If this bag is picked, the chance the fruit would be an apple would be 2/6, or 33.333...% of the time.
You have a 100% chance of picking either bag, so just think of this as the fruits being in the same bag. There would be 3+2 apples in total, and 2+4 oranges in total. All together, there are 11 fruits. 5 of these fruits are apples.
So, the chance of picking an apple is 5/11, or a 45.454545...% chance of picking an apple. This means, on average, if you have 100 random fruits with the same probability of being in the bag as is displayed previously in the problem, you will choose an apple 45 times and an orange 55 times.
A bag contains 3 apples and 2 oranges. Another bag contains 2 apples and 4 oranges . A bag and a fruit are picked at random. The probability that the fruit will be apple is
steve said (1/2)(3/5) + (1/2)(2/6)
You can get 3/10+ 1/6 =9/30+5/30=14/30=7/15
To find the probability that the fruit will be an apple, we need to consider the total number of possible outcomes as well as the number of favorable outcomes.
Total number of possible outcomes:
There are two bags, so we have a total of 2 possible bags to choose from.
Within each bag, we have the option to select either an apple or an orange. Since one bag contains 3 apples and 2 oranges and the other bag contains 2 apples and 4 oranges, we have a total of (3 + 2) + (2 + 4) = 11 possible fruits to choose from.
Number of favorable outcomes (apples):
The first bag contains 3 apples, and the second bag contains 2 apples. So, we have a total of 3 + 2 = 5 favorable outcomes (apples to choose from).
Now, we can calculate the probability that the fruit will be an apple:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 5 / 11
= 5/11 or approximately 0.4545 or 45.45%
Therefore, the probability that the fruit picked will be an apple is 5/11 or approximately 0.4545, which is equivalent to 45.45%.