Question

Colin rolls a fair dice and flips a fair coin. What is the probability of obtaining a 3 and a tail?.

Answer 1

Probability of obtaining a 3 and a tail using a fair dice and coin is ( 1/12 ).

What is probability?

The likelihood that an event will occur is measured by probability. It is difficult to provide a complete prediction for many events. Using it, we are only able to estimate the likelihood that an event will occur, or the chance that it will. Between 0 and 1, where 1 denotes a certain event and 0 denotes an impossibility, is the range of probabilities. Students should pay close attention to the lesson on probability for Class 10 because it covers all the fundamental ideas. In a sample space, there is a probability of 1 for each event.

Here we use the multiplicative property of probability

In dice,

Outcome = 6 which is  (1, 2, 3, 4, 5, 6)

For obtaining 3,

Total Probability = $\frac{1}{6}$

in Coin,

Outcome = 2 which is ( Head, Tail )

For obtaining tail,

Total probability = $\frac{1}{2}$

Now by using multiplicative theorm of probability,

we get,

( 1/6 )×( 1/2 ) = ( 1/12 )

Hence, the probability will be ( 1/12 )

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