+10

6 months ago

Mathematics

High School

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).

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:

If we use this formula for A, we get that:

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:

The probability of getting a 1 on the spinner and tails on the coin toss is P(1 and tails) = 1/10 or .1.

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:

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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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)andP(2,4 ∩ H).## a)

P(1 and tails)Spinning the spinner and flipping the coin are

independentevents; 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

1on the spinner is P(1) =1/5.The probability of getting

tailson the coin toss is P(tails) =1/2.We can now multiply these probabilities together:

P(1 and tails) = 1/5 * 1/2 = 1/10The probability of getting a 1 on the spinner and tails on the coin toss is

P(1 and tails) = 1/10or.1.## b)

P(even and heads)There are two

evennumbers between 1 and 5:2 and 4.The probability of getting an

even numberon the spinner is2/5.The probability of getting

headson the coin toss is1/2.We can multiply these probabilities together:

P(even and heads) = 2/5 * 1/2 = 2/10 = 1/5The probability of getting an even number on the spinner and heads on the coin toss is

orP(even and heads) = 1/5..2