Question
The probability of an unfair coin landing heads side up is 0.6. A student tossed this coin into the air 9 times. It landed tails side up 5 times and heads side up 4 times. What is the probability that the coin will land heads side up on the 10th toss?
- 0.4
- 0.5
- 0.6
- 1
The correct answer is: 0.6
HINT: Tossing of a coin is an independent event.
Complete step by step Solution
Since tossing of a coin is an independent event, the previous flips won't affect the forthcoming flips.
Given that the probability of an unfair coin landing heads side up = 0.6.
Since it is an independent event, the probability that the coin will land heads side up on the 10th toss is also 0.6.
Hence option C is the correct answer.
When a coin is flipped, it has unequal chances of landing heads-up or tails-up. • A Bernoulli trial is a random experiment with two possible outcomes, which are commonly referred to as success and failure, or the numeric values 1 and 0.
A fair coin has one tail and one head. Both of these outcomes have an equal chance of being the event's final outcome. For an unfair coin, the probability of seeing heads is 2/2 or 1. Similarly, the likelihood of a tail on an unfair coin is 2/2 or 1.
When a coin does not behave like a standard coin, it is said to be an Unfair Coin. Unfair Coin does not have the same outputs as a regular coin, for example, an Unfair Coin has either two heads or two tails.
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