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A day full of math games & activities. Find one near you.
Find the sample space for tossing 2 coins, then find p(exactly 1 head).
Sample space, in probability, is referred to as the collection of all possible outcomes in any random experiment. It is denoted by "S".
Answer: The sample space for tossing 2 coins is { TT, TH, HT, HH } and p(exactly 1 head) is 1/2.
Let's observe the experiment of tossing 2 coins.
Explanation:
Head(H), Tail(T) are two possible outcomes when we toss a coin.
So, the sample space when we toss 2 coins is { TT, TH, HT, HH }.
Total number of outcomes = 4
No.of favorable outcomes = N(exactly 1 head) = {TH, HT} = 2
Probability(exactly 1 head) = (No. of favorable outcomes) / (Total no. of outcomes)
= 2 / 4
= 1/2
Thus, sample space is { TT, TH, HT, HH } and p(exactly 1 head) is 1/2.
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