7. JD rolls a 6-sided die and tosses a coin. What is the probability that he rolls a 4 and tosses A head?
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Answer:
1:6 chance for the dice/die
1:2 chance for a head
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Given:
JD rolls a 6-sided die and tosses a coin.
To Find:
What is the probability that he rolls a 4 and tosses a Head?
Solution:
Probability is defined as the chances for an event to happen out of all the possible outcomes for that event. It lies between 0 to 1 and is denoted by P.
The formula for probability is,
So now the total number of possible outcomes in the given case will be 6*2 which is 12,
Now the events where he rolls a 4 and tosses a Head will be just one, so the probability of the given event using the stated formula will be,
[tex]P=\frac{1}{12} \\ =0.08\bar3[/tex]
Hence, the probability that he rolls a 4 and tosses a Head is 1/12.
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