Question

Patty tosses the coin and rolls the number cube 60 times. Predict how many times the coin will land on heads and the cube will land on an even number

Answer 1

Half of the time, the coin will land on heads and the cube will land on an even number when Patty tosses the coin and rolls the number cube 60 times.

What is binomial probabilities?

The binomial probabilities is the experimental probability in which the total number of output values is 2, therefore it is known as binomial probabilities.

The number of independence variable in case of binomial experiments is fixed. Both the two output has the 1/2 chances to occur.

Patty tosses the coin and rolls the number cube 60 times.

For the coin, there are total 120 outcomes for 60 tosses, in which 60 favorable outcomes to land on heads. Thus, the probability the coin will land on heads is,

$P=\dfrac{60}{120}\\P=\dfrac{1}{2}$

For the number cube, there are total 360 outcomes (6×60) for 60 rolls, in which 180 favorable outcomes (3×60) to land on even number. Thus, the probability the number cube will land on even number is,

$P=\dfrac{180}{360}\\P=\dfrac{1}{2}$

Hence, half of the time, the coin will land on heads and the cube will land on an even number when Patty tosses the coin and rolls the number cube 60 times.

Learn more about the binomial probability here;

https://brainly.com/question/24756209

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