E. A die is rolled and a coin is tossed
Find the probability that the die snows an odd number and that coins show a head
That coins show a head
P(odd) = 3/6
P(head) = 1/2
since they are independent events, just multiply the probabilities.
To find the probability that a die shows an odd number and a coin shows a head, we need to understand the probability of each event individually and then multiply them together.
1. Probability of the die showing an odd number:
A standard die has six sides numbered from 1 to 6, with three odd numbers (1, 3, and 5). So, the probability of rolling an odd number on a fair die is 3/6 or 1/2.
2. Probability of the coin showing a head:
A fair coin has two equally likely outcomes - heads and tails. So, the probability of getting a head is 1/2.
To find the probability of both events happening, we multiply the individual probabilities together:
P(Odd number on the die and Head on the coin) = P(Odd number on the die) * P(Head on the coin)
= 1/2 * 1/2
= 1/4
Therefore, the probability that the die shows an odd number and the coin shows a head is 1/4 or 0.25.