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tommy tosses a fair coin 20 times. the results are 12 heads and 8 tails…

Question

tommy tosses a fair coin 20 times. the results are 12 heads and 8 tails. if we call heads a success what is the probability of tommy tossing a head on the 21st toss? 12% 40% 50% 60%

Explanation:

Step1: Understand the nature of coin - toss

A fair coin has two possible outcomes (head or tail) with equal probability. Each toss is an independent event.

Step2: Calculate the probability

The probability of getting a head \(P(H)\) for a fair coin is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). For a coin, the number of favorable outcomes (head) is \(1\) and the total number of outcomes is \(2\) (head and tail). So \(P(H)=\frac{1}{2}=0.5 = 50\%\)

Answer:

C. \(50\%\)