With a hidden coin, the chance of throwing a cross is 0.3. with a hidden coin, the chance of throwing a coin is 0.25. Calculate the probability that you will get the same result twice if each coin is rolled once
With a hidden coin, the chance of throwing a cross is 0.3. with a hidden coin, the chance of throwing head is 0.25. Calculate the probability that you will get the same result twice if each coin is rolled once
can someone pls answer?
To calculate the probability of getting the same result twice when each coin is rolled once, we can use the multiplication rule.
Given that the first coin has a probability of 0.3 (30%) of landing on heads (cross) and 0.7 (70%) of landing on tails, and the second coin has a probability of 0.25 (25%) of landing on heads (coin) and 0.75 (75%) of landing on tails, we need to find the probability of getting the same result with both coins.
The first step is to multiply the probability of getting heads on the first coin by the probability of getting heads on the second coin.
P(heads, heads) = P(heads on first coin) * P(heads on second coin)
P(heads, heads) = 0.3 * 0.25 = 0.075
Next, we calculate the probability of getting tails on both coins by multiplying the probability of getting tails on the first coin by the probability of getting tails on the second coin.
P(tails, tails) = P(tails on first coin) * P(tails on second coin)
P(tails, tails) = 0.7 * 0.75 = 0.525
Since we want to find the probability of getting the same result with both coins, we add the probabilities of getting heads on both coins and getting tails on both coins.
P(same result) = P(heads, heads) + P(tails, tails)
P(same result) = 0.075 + 0.525 = 0.6
Therefore, the probability of getting the same result twice when each coin is rolled once is 0.6, or 60%.