Respuesta :
The probability of rolling a 2 and tossing two heads is [tex]\frac{1}{24}[/tex]. Since a rolling dice and tossing two coins results in 4 outcomes and rolling a dice results in 6 outcomes, there are 24 possible outcomes for the simultaneous events and the chances of getting two heads and 2 on dice are only 1.
What is Probability?
- Probability is the measure of the likelihood of an event to occur.
- Probability is given by the ratio of the number of favorable outcomes to the total number of outcomes
- [tex]P(A)=\frac{n(A)}{n(s)}[/tex] n(A)-number of favorable outcomes of events A and n(S)-total number of possible outcomes.
Calculating the probability for the given events:
Given that,
2 coins are tossing and one dice is rolling at a time
We need to find the probability of getting 2 on dice and heads on coins at a time.
The possible outcomes for tossing two coins are 4 and the favorable outcomes for tossing heads on both coins is 1
∴ The probability of tossing two heads is [tex]\frac{1}{4}[/tex]
The possible outcomes for rolling dice are 6 and the favorable outcome for rolling number 2 on dice is 1
∴ The probability of rolling a 2 on dice is [tex]\frac{1}{6}[/tex]
Thus, to get the probability of two events at a time multiplies by the obtained probabilities. i.e.,
[tex]\frac{1}{4}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{24}[/tex]
This is also obtained by taking the total outcomes for all the events at a time are 24 and the favorable outcomes for rolling 2 and tossing two heads are only 1 so, the probability becomes [tex]\frac{1}{24}[/tex].
Learn more about probability here:
https://brainly.com/question/9621399
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