To find the probability that both events A and B will occur, you can use the formula:
P(A and B) = P(A) * P(B)
1. Calculate the probability of event A (coin lands on tails):
Since there are 2 possible outcomes when tossing a coin (heads or tails) and only 1 favorable outcome for event A (tails), the probability of event A is 1/2.
2. Calculate the probability of event B (die lands on 4 or 5):
When rolling a six-sided die, there are 6 possible outcomes (numbers 1 to 6). Out of these, 2 outcomes (4 and 5) are favorable for event B. Therefore, the probability of event B is 2/6, which simplifies to 1/3.
3. Now, plug the probabilities of events A and B into the formula:
P(A and B) = (1/2) * (1/3)
P(A and B) = 1/6
Therefore, the probability that both events A and B will occur is 1/6.
