you have a set of 10 cards numbered 1 to 10. You choose a card at random. event A is choosing a number less than 4. Event B is choosing an even number. Calculate the probability of A.
To calculate the probability of event A, which is choosing a number less than 4, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.
In this case, the favorable outcomes are numbers 1, 2, and 3, as they are less than 4. The total number of possible outcomes is 10 since you have a set of 10 cards numbered from 1 to 10.
Therefore, the probability of event A can be calculated as follows:
Probability of A = (Number of favorable outcomes) / (Total number of possible outcomes)
= 3 / 10
= 0.3
So, the probability of event A is 0.3 or 30%.
To calculate the probability of event A, we need to determine the number of favorable outcomes (choosing a number less than 4) and the total number of outcomes (choosing any of the 10 cards).
Number of favorable outcomes for event A: There are 3 cards with numbers less than 4 (1, 2, and 3).
Number of total outcomes: There are 10 cards in total (numbered from 1 to 10).
Now, we can calculate the probability of event A by dividing the number of favorable outcomes by the number of total outcomes:
Probability of event A = Number of favorable outcomes / Number of total outcomes
Probability of event A = 3 / 10
Simplifying, we find:
Probability of event A = 0.3 or 30%