A coin is flipped and a normal dice is rolled.
a)
How many possible outcomes are there?
b)
What is the probability of getting a tail and a five?
c)
What is the probability of getting a number less than five and a head?

Respuesta :

a) 2 * 6 = 12

b) (1/2)(1/6) = 1/12 = .083

c) (1/2)(4/6) = 1/3 = .33

Total possible outcomes if a coin is flipped and a normal dice is rolled are   12

Probability of getting a tail and a five will be 1/12

The probability of getting a number less than five and a head  is 1/3

What is probability?

  • Probability is the chance of happening of an event.
  • Probability is always ≤ 1

How to find out how many possible outcomes are there?

  • If a coin is tossed 2 possible outcomes will be there.
  • Either it will be a  Head or a Tail.
  • If a normal dice is rolled 6 possible outcomes will be there.

∴ Total possible outcomes  = (6 x 2) = 12

How to know the probability of getting a tail and a five?

  • As we know that there will be 12 possible outcomes .
  • Getting a five and a tail will be one of those possible outcomes.

Probability of getting a tail and a five will be 1/12

How to know the probability of getting a number less than five and a head?

  • We know that probability of getting a head when a coin is flipped is 1/2
  • Probability of getting a number less than five is a dice is rolled is = 4/6

∴ The probability of getting a number less than five and a head =               (1/2)(4/6) = 4/12 = 1/3

Find more about "Probability" here : https://brainly.com/question/25870256

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