Question

caitlyn wanted to track the growth of various fruits in the garden, so she decided to label them. apples were labeled with 1, 2, 3, 4, 5, 6 lemons were labelled with 1, 2 melons were labelled with 1, 2, 3 if a single fruit is picked at random, what is the probability that the fruit is a lemon or has an even number? explain your reasoning.

Answer 1

The probability of picking a fruit that is a lemon or has an even number from Caitlyn's garden is 5/11. This is determined by counting the number of lemons (2) and fruits with even numbers (4), but subtracting the overlap (1 lemon is also even-numbered), giving us 5 favorable outcomes out of 11 possible fruits.

Step-by-step explanation:

Caitlyn is tracking the growth of fruits by labelling them with numbers. To find the probability that a randomly picked fruit is a lemon or has an even number, we can use the concept of probability in mathematics.

First, we list the labels given to each type of fruit:

• Apples: 1, 2, 3, 4, 5, 6
• Lemons: 1, 2
• Melons: 1, 2, 3

There are a total of 11 fruits. Now, we find the number of favorable outcomes for the event 'the fruit is a lemon or has an even number':

• Lemons: 2 (since there are two lemons).
• Even-numbered fruits: Apples (2, 4, 6) and Melons (2), totaling 4.

Note that lemon 2 is counted in both events, so we must subtract it once to avoid double-counting.

The number of favorable outcomes: 2 (lemons) + 3 (non-lemon even numbers) = 5.

The probability is the number of favorable outcomes divided by the total number of outcomes:

Probability = Favorable outcomes / Total outcomes

= 5 / 11

So, the probability of picking a lemon or a fruit with an even number is 5/11.