Question

You have a set of 10 cards numbered one to 10 you choose a card at random event A is choosing a number less than seven. event B is choosing an odd number. calculate the probability

Answer 1

To calculate the probabilities of events A and B, we need to determine the number of favorable outcomes for each event and then divide by the total number of possible outcomes.

Total number of cards: 10

Event A: Choosing a number less than seven.
Favorable outcomes: {1, 2, 3, 4, 5, 6} (6 numbers)
Probability of Event A = (Number of favorable outcomes for A) / (Total number of cards) = 6/10 = 3/5

Event B: Choosing an odd number.
Favorable outcomes: {1, 3, 5, 7, 9} (5 numbers)
Probability of Event B = (Number of favorable outcomes for B) / (Total number of cards) = 5/10 = 1/2

So, the probabilities are as follows:
Probability of Event A (choosing a number less than seven) = 3/5 or 0.6 (60%)
Probability of Event B (choosing an odd number) = 1/2 or 0.5 (50%)