What is the theoretical probability that a coin toss results in two heads showing?
Solution:
The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.
Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.
Given a coin is tossed twice.
We have to find the theoretical probability of tossing two heads.
The probability of getting heads on toss of a coin is 1/2 0r 0.5.
The probability of getting two heads is 1/4 or 0.25.
Therefore, the probability of getting two heads on two coin tosses is 0.5 × 0.5 or 0.25.
Example: What is the theoretical probability that a coin toss results in two tails showing?
Solution:
The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.
Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.
Given a coin is tossed twice.
We have to find the theoretical probability of tossing two tails.
The probability of getting tails on toss of a coin is 1/2 0r 0.5.
The probability of getting two tails is 1/4 or 0.25.
Therefore, the probability of getting two tails on two coin tosses is 0.5 × 0.5 or 0.25.
What is the theoretical probability that a coin toss results in two heads showing?
Summary:
The theoretical probability that a coin toss results in two heads showing is 0.25.
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