Answer :
Final answer:
In mathematics related to probability, the chance of flipping a head on a fair coin and picking a card greater than 15 from a hat containing 20 cards numbered 1-20 is 1/8. This result comes from multiplying the individual probabilities of each event.
Explanation:
The subject matter of your question pertains to the field of probability in mathematics. The probability in question involves two separate events: flipping a heads on a coin (a fair one, meaning it has two equally likely outcomes: heads or tails), and drawing a card numbered higher than 15 from a hat that contains cards numbered 1 through 20. We calculate the probability of both these events happening simultaneously by multiplying the probabilities of each individual event.
- Flipping a heads: As you've learned from your text, the probability of flipping a heads on a fair coin is 0.5 (or 1/2 in fraction form), because there exist two equally likely outcomes (heads or tails).
- Drawing a card numbered more than 15: There are 20 cards, out of which 5 cards (16, 17, 18, 19, 20) are numbered higher than 15. Hence, the probability of drawing a card numbered more than 15 is 5 out of 20, or 1/4 in simplified form.
To find the probability that both these events occur simultaneously, we simply multiply these two probabilities together. That's (1/2) * (1/4) = 1/8. So the probability that you flip a heads and draw a card numbered greater than 15 is 1/8.
Learn more about Probability here:
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