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1. What is the probability of getting 3 tails, when tossing a coin 4 times? __%

2. What is the probability of getting 4 heads, when tossing a coin 6 times? __%

Respuesta :

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1. The probability is 1/4
2. The probability is 3/4

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 = [tex]2^{6}[/tex] = 64

  • The favorable case will be where there are 4 heads and 2 tails.

Number of favorable cases = [tex]\frac{6!}{4! 2!} = 15[/tex]

∴ Probability of getting 4 heads = 15/64

Find more about "Probability" here : https://brainly.com/question/25870256

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