A coin was tossed and a spinner with three equal sections numbered 1 to 3 spun. What is the experimental probability that the next toss will result in 3 and tails?

Question

Mathematics

Noodle

29 December, 17:31

A coin was tossed and a spinner with three equal sections numbered 1 to 3 spun. What is the experimental probability that the next toss will result in 3 and tails?

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Jayleen Castillo · Answer 1

Answer: the probability is 0.1515 or 15.15%

Step-by-step explanation: the possible results for the coin are two, so each result has a 1/2 = 0.5 probability, while the results for the spinner are 3, wich means that each possible result has a possibility equal to 1/3 = 0.33

So the probability of having the resulting tail in the coin is equal to 0.5, and one for the number 3 in the spinner is equal to 0.33, and the joint probability (the probability of both events happening in the same experiment or toss in this case) is equal to the product of both probabilities; so the probability that the next toss will result in 3 and tails is equal to 0.33*0.50 = 0.1515

If we want to write it as a percentage, we must multiply it by 100%

0.1515*100% = 15.15%