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Chance flips a coin and rolls a 1-6 number cube. What’s the probability that he rolls a number less than 4 and the coin lands on heads. In a percent.

Sagot :

Reinhard10158idn

Step-by-step explanation:

probability is

number of desired cases / number of possible cases.

so, to roll a number less than 4 with a regular cube means to roll a maximum of 3.

the desired outcomes are therefore 1, 2 and 3.

there are overall 6 possible outcomes.

so the probability to roll less than a 4 is

3/6 = 1/2

to flip a coin has 2 possible outcomes, and we look only at heads as did desired outcome.

the probability to get heads is

1/2

now, we need to combine both.

to roll less than a 4 AND to get heads.

as long as there is no overlap in both events (which there is not here), we simply multiply both probabilities :

1/2 × 1/2 = 1/4

1/4 is the probabilty to roll a number less than 4 and to get heads on the coin.

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