Question

A spinner has 20 equally sized sections, 14 of which are green and 6 of which are red. the spinner is spun and, at the same time, a fair coin is tossed. what is the probability that the spinner lands on green and the coin toss is heads? do not round your answer.

Answer 1

The probability of the spinner landing on green and the coin landing on heads is 0.35, calculated by multiplying the probability of landing on green (0.7) by the probability of the coin landing on heads (0.5).

Step-by-step explanation:

The question asks for the probability that a spinner lands on green and a coin toss results in heads. Since there are 20 equally sized sections on the spinner, and 14 of them are green, the probability that the spinner lands on green is 14/20 or 0.7. The probability of tossing heads with a fair coin is 0.5. To find the combined probability of both independent events happening, we multiply the probabilities of each event:

Probability(spinner lands on green) × Probability(coin lands on heads) = 0.7 × 0.5 = 0.35.

Therefore, the probability that the spinner will land on green and the coin will land on heads is 0.35 or 35%.