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Sagot :
Answer:
a) P(1 and tails) = 1/10 = .1
b) P(even and heads) = 1/5 = .2
Step-by-step explanation:
The spinner has 5 outcomes: 1-5.
The coin has 2 outcomes: Heads or Tails.
We want to find the probability of P(1 ∩ T) and P(2,4 ∩ H).
a) P(1 and tails)
Spinning the spinner and flipping the coin are independent events; therefore, getting one outcome has no effect on the outcome of another.
For independent events, the multiplication rule is:
- P(A and B) = P(A) * P(B)
If we use this formula for A, we get that:
- P(1 and tails) = P(1) * P(tails)
The probability of getting a 1 on the spinner is P(1) = 1/5.
The probability of getting tails on the coin toss is P(tails) = 1/2.
We can now multiply these probabilities together:
- P(1 and tails) = 1/5 * 1/2 = 1/10
The probability of getting a 1 on the spinner and tails on the coin toss is P(1 and tails) = 1/10 or .1.
b) P(even and heads)
There are two even numbers between 1 and 5: 2 and 4.
The probability of getting an even number on the spinner is 2/5.
The probability of getting heads on the coin toss is 1/2.
We can multiply these probabilities together:
- P(even and heads) = 2/5 * 1/2 = 2/10 = 1/5
The probability of getting an even number on the spinner and heads on the coin toss is P(even and heads) = 1/5 or .2.
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