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The probability that Colin buys a sandwich is 0.3.

The probability that Colin gets the bus is 0.7.
Assuming the events are independent, what is the probability that Colin buys a sandwich and gets the bus?

User Rajath M S
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Final answer:

The probability that Colin buys a sandwich and gets the bus is found by multiplying the individual probabilities of the two independent events. This gives us a combined probability of 0.21 or 21%.

Step-by-step explanation:

To calculate the probability that Colin buys a sandwich and gets the bus, given that these two events are independent, we use the multiplication rule for independent events. The multiplication rule tells us that if events A and B are independent, then the probability of both A and B occurring (P(A AND B)) is the product of their individual probabilities. Therefore:

  • P(Colin buys a sandwich) = 0.3
  • P(Colin gets the bus) = 0.7

Since these events are independent, we multiply these probabilities together to find the combined probability:

P(Colin buys a sandwich AND gets the bus) = P(Colin buys a sandwich) × P(Colin gets the bus) = 0.3 × 0.7 = 0.21.

So, the probability that Colin buys a sandwich and gets the bus on the same day is 0.21 or 21%.

User Hermilton
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