The probability of getting 3 tails, when tossing a coin 4 times is 25%
The probability of getting 4 heads, when tossing a coin 6 times is 23.43%
What is probability?
- Probability is the chance of happening of an event.
- Probability is always ≤ 1
How to find the probability of getting 3 tails, when tossing a coin 4 times?
- According to the problem, a coin is tossed 4 times.
The possible outcomes are,
HHHH HTHH THHH HTHT
HHHT HTTH TTHH THTH
HHTT HHTH TTTH THHT
HTTT TTTT TTHT THTT
So the total sample space is 16
- We want the probability of getting 3 tails.
- There are only four cases where three tails are there.
∴ Probability of getting 3 tails = 4/16 = 1/4
How to find the probability of getting 4 heads, when tossing a coin 6 times?
- According to the problem, a coin is tossed 6 times.
So the total sample space = \(2^{6}\) = 64
- The favorable case will be where there are 4 heads and 2 tails.
Number of favorable cases = \(\frac{6!}{4! 2!} = 15\)
∴ Probability of getting 4 heads = 15/64
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