A spinner is divided into 5 equal sections numbered 1, 2, 3, 4, and 5. If the spinner is spun and a coin is tossed, what is the probability of getting a tail on the coin and an odd number on the spinner
P(tail) = 1/2
P(odd) = P(1)+P(3)+P(5) = 1/5+1/5+1/5=3/5
Joint probability of two independent events
= P(odd)*P(tail)
= 3/5*1/2
= 3/10
P(tail) = 1/2
P(odd) = P(1)+P(3)+P(5) = 1/5+1/5+1/5=3/5
Joint probability of two independent events
= P(odd)*P(tail)
= 3/5*1/2
= 3/10
To solve this problem, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Since the spinner is divided into 5 equal sections, there are 5 possible outcomes when it is spun.
Number of favorable outcomes:
Out of the 5 sections on the spinner, 3 of them are odd numbers (1, 3, and 5).
Out of the 2 possible outcomes of tossing a coin, 1 of them is a tail.
To find the probability, we divide the number of favorable outcomes by the total number of outcomes:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
= (3 odd numbers on the spinner) / (5 possible spinner outcomes) × (1 tail on the coin) / (2 possible coin outcomes)
= (3/5) * (1/2)
= 3/10
= 0.3
Therefore, the probability of getting a tail on the coin and an odd number on the spinner is 0.3 or 30%.
To find the probability of getting a tail on the coin and an odd number on the spinner, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The spinner has 5 equal sections, numbered 1, 2, 3, 4, and 5. Therefore, there are 5 possible outcomes for the spinner.
The coin has two possible outcomes: heads or tails.
To determine the total number of possible outcomes, we multiply the number of possible outcomes for the spinner (5) with the number of possible outcomes for the coin (2). So the total number of possible outcomes is 5 * 2 = 10.
Now, we need to determine the number of favorable outcomes. In this case, a favorable outcome is when we get a tail on the coin and an odd number on the spinner.
The odd numbers on the spinner are 1, 3, and 5. Therefore, there are 3 possible outcomes for an odd number on the spinner.
Since there is only one possible outcome for the tail on the coin, the number of favorable outcomes is 1 * 3 = 3.
Now, we can find the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 10
Therefore, the probability of getting a tail on the coin and an odd number on the spinner is 3/10 or 0.3.