Question
Download Solution PDFIf 4 coins are tossed once then what is the probability of getting exactly 2 heads?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number of coins tossed = 4
Number of heads required = 2
Each coin has two outcomes: Head (H) or Tail (T).
Formula Used:
Probability of an event = (Number of favorable outcomes) / (Total number of outcomes)
Total outcomes for tossing n coins = 2n
Number of ways to get r heads in n tosses = nCr = n! / [r!(n - r)!]
Calculation:
Total number of outcomes = 24 = 16
Number of ways to get exactly 2 heads = 4C2 = 4! / [2!(4 - 2)!]
⇒ 4C2 = (4 × 3) / (2 × 1)
⇒ 4C2 = 6
Probability of getting exactly 2 heads = (Number of favorable outcomes) / (Total number of outcomes)
⇒ Probability = 6 / 16
⇒ Probability = 3 / 8
The probability of getting exactly 2 heads is 3/8.
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