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Angelina makes 
70% of her free throws. What is the probability that she will make her next two free throws?

Angelina makes 70% 70 \% of her free throws. What is the probability that she will make her next two free throws?

Full solution

Q. Angelina makes 70% 70 \% of her free throws. What is the probability that she will make her next two free throws?
  1. Understand the problem: Understand the problem.\newlineAngelina has a 70%70\% chance of making a free throw. We need to find the probability that she will make two free throws in a row.
  2. Convert to decimal: Convert the percentage to a decimal to make the calculation easier. 70%70\% as a decimal is 0.700.70.
  3. Calculate first throw: Calculate the probability of making the first free throw. The probability of making the first free throw is 0.700.70.
  4. Calculate second throw: Calculate the probability of making the second free throw. The probability of making the second free throw is also 0.700.70, assuming that each free throw is an independent event.
  5. Multiply probabilities: Multiply the probabilities of each independent event to find the combined probability.\newlineThe probability of making both free throws is 0.70×0.700.70 \times 0.70.
  6. Perform final multiplication: Perform the multiplication to find the final probability. 0.70×0.70=0.490.70 \times 0.70 = 0.49.

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