What is the probability that Julio will select a strawberry candy from the first bag and a tamarind candy from the second bag during his next draw?

Mathematics Questions

What is the probability that Julio will select a strawberry candy from the first bag and a tamarind candy from the second bag during his next draw?

Short Answer

The probability of selecting a strawberry candy from the first bag is 7/20, while the probability of selecting a tamarind candy from the second bag is 3/10. The combined probability of these independent selections is 0.105 or 10.5%.

Step-by-Step Solution

Step 1: Calculate Probability from the First Bag

Start by determining the total number of candies in the first bag. The breakdown of candies is:

Pineapple: 8
Lime: 5
Strawberry: 7

The total comes to 20 candies. To find the probability of selecting a strawberry candy, divide the number of strawberry candies (7) by the total (20), yielding a probability of 7/20.

Step 2: Calculate Probability from the Second Bag

Next, assess the second bag’s total candy count. The quantities are:

Mango: 1
Tamarind: 3
Watermelon: 6

This totals to 10 candies. The probability for selecting a tamarind candy is found by dividing the number of tamarind candies (3) by 10, which results in a probability of 3/10.

Step 3: Calculate the Combined Probability

Since the events of selecting candies from each bag are independent, the combined probability is calculated by multiplying the two probabilities derived earlier:

First bag: 7/20
Second bag: 3/10

Thus, the combined probability is (7/20) * (3/10) = 0.105 or 10.5%.

What is the probability that Julio…