a student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails…

a student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time. if this is true, what is the probability that a student who spins 4 pennies will have them all land tails side up?\n0.0150\n0.1785\n0.8215\n0.9850

a student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time. if this is true, what is the probability that a student who spins 4 pennies will have them all land tails side up?\n0.0150\n0.1785\n0.8215\n0.9850

Answer

Explanation:

Step1: Identify probability of single - event

The probability of a single penny landing tails - side up when spun is $p = 0.65$.

Step2: Use multiplication rule for independent events

Since the spins of the 4 pennies are independent events, the probability that all 4 pennies land tails - side up is $P=p\times p\times p\times p=p^{4}$. Substitute $p = 0.65$ into the formula: $P=(0.65)^{4}=0.65\times0.65\times0.65\times0.65 = 0.17850625\approx0.1785$.

Answer:

0.1785