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Two coins are tossed, the probability of getting at least one head is

Question

Two coins are tossed, the probability of getting at least one head is

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Solution

Step 1: Identify the total number of outcomes when two coins are tossed.

When two coins are tossed, there are four possible outcomes:

  • Both are heads (HH)
  • The first is a head and the second is a tail (HT)
  • The first is a tail and the second is a head (TH)
  • Both are tails (TT)

So, the total number of outcomes is 4.

Step 2: Identify the favorable outcomes for getting at least one head.

The favorable outcomes for getting at least one head are:

  • Both are heads (HH)
  • The first is a head and the second is a tail (HT)
  • The first is a tail and the second is a head (TH)

So, the number of favorable outcomes is 3.

Step 3: Calculate the probability.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.

So, the probability of getting at least one head when two coins are tossed is 3/4 or 0.75.

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