What is the probability of spinning a number greater than 5 on a spinner numbered 1 to 8 and tossing a tail on a coin?
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To find the probability of spinning a number greater than 5 on a spinner numbered 1 to 8 and tossing a tail on a coin, we need to determine the probability of each event separately and then multiply these probabilities together.
Step 1: Determine the probability of spinning a number greater than 5 on the spinner.
The spinner has numbers 1 to 8, so the favorable outcomes are numbers 6, 7, and 8. There are a total of 8 equally likely outcomes.
Probability of spinning a number greater than 5 on the spinner = Favorable outcomes / Total outcomes
= 3 / 8
Step 2: Determine the probability of tossing a tail on the coin.
A fair coin has two equally likely outcomes: heads and tails. We want the probability of getting a tail.
Probability of tossing a tail on the coin = Favorable outcomes / Total outcomes
= 1 / 2
Step 3: Multiply the probabilities together.
Probability of spinning a number greater than 5 on the spinner and tossing a tail on the coin = Probability of spinning a number greater than 5 * Probability of tossing a tail
= (3/8) * (1/2)
= 3/16 or approximately 0.1875
Therefore, the probability of spinning a number greater than 5 on a spinner numbered 1 to 8 and tossing a tail on a coin is 3/16 or approximately 0.1875.
To find the probability of spinning a number greater than 5 on a spinner numbered 1 to 8 and tossing a tail on a coin, we need to determine the favorable outcomes and the total possible outcomes for each event separately.
1. Spinner:
The spinner has 8 numbers, so the total possible outcomes are 8. To find the favorable outcomes for spinning a number greater than 5, we count the numbers 6, 7, and 8. Thus, the favorable outcomes are 3.
2. Coin:
A coin has two sides, heads and tails. Since we want to toss a tail, there is only one favorable outcome.
Now, to find the probability of both events happening together, we multiply the probabilities of each event occurring individually.
Probability of spinning a number greater than 5: favorable outcomes (3) / total outcomes (8) = 3/8
Probability of tossing a tail: favorable outcomes (1) / total outcomes (2) = 1/2
Probability of both events occurring: (3/8) * (1/2) = 3/16
Therefore, the probability of spinning a number greater than 5 on the spinner and tossing a tail on the coin is 3/16.
1/2 chance of getting a tail
5, 6, 7, or 8 on the spinner
that is 4chances out of 8
4/8 or 1/2
Multiply the two fractions 1/2 times 1/2 = 1/4