Question

A coin is tossed 100 times and the probability of getting a tail was found to be 0.6. How many times would a tail have appeared in the 100 times the coin was tossed?

- 50
- 45
- 60
- 40

Solution

The correct option is **C** 60

Number of trials = 100

The event in this case is a tail appearing on the coin.

Let the number of times a tail appeared be X.

∴ The number of trials where the event happened = X

We know, for an event E

P(E) = Number of trials in which the event happenedTotal number of trials

Given, P(E)=0.6

⟹X100=0.6

⟹X=60

Hence, a tail would have appeared 60 times.

Number of trials = 100

The event in this case is a tail appearing on the coin.

Let the number of times a tail appeared be X.

∴ The number of trials where the event happened = X

We know, for an event E

P(E) = Number of trials in which the event happenedTotal number of trials

Given, P(E)=0.6

⟹X100=0.6

⟹X=60

Hence, a tail would have appeared 60 times.

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